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<s>[INST] Can you write a short introduction about the relevance of the term "Oscar wants to train for a marathon. He plans to add 2/3 of a mile each week until he reaches a 20-mile run. How many weeks before the marathon should he start training if he has already run 2 miles?" in 5? Please use examples related to potential situations in this context and cite relevant research. [/INST] Oscar needs to increase his maximum running time from 20 - 2 = 18 miles. |
Oscar will need a total of 18 / ( 2 / 3 ) = 27 weeks to prepare. |
27 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "It takes 1 person working 10 hours to figure out the solution to a math problem. If you add a second person who's equally good at math, how long will the two of them have to work to solve the same problem?" in 1? Please use examples related to potential situations in this context and cite relevant research. [/INST] Since you're doubling the number of people working on the task, that means you will be able to reduce the amount of time worked in half if they're of equal skill. |
Therefore, you take the original time of 10 hours and perform 10/2= 5 hours spent working on the problem. |
5 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Mustafa buys a fridge, a TV and a computer with a total budget of $1600. The TV costs $600 and the fridge costs $500 more than the computer. How much does the computer cost?" in 2? Please use examples related to potential situations in this context and cite relevant research. [/INST] The fridge and computer cost 1600-600=1000 dollars. |
The computer cost (1000-500)/2=250 dollars. |
250 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Frank is making hamburgers and he wants to sell them to make $50. Frank is selling each hamburger for $5 and 2 people purchased 4 and another 2 customers purchased 2 hamburgers. How many more hamburgers does Frank need to sell to make $50?" in 3? Please use examples related to potential situations in this context and cite relevant research. [/INST] Frank sold 4 hamburgers and then sold 2 more, so all together Frank already sold 4+2= 6 hamburgers |
If each hamburger is $5 and he sold 6 hamburgers already, Frank has made 5*6= 30 dollars. |
Frank wants to make $50 and has already made $30, so Frank still needs 50-30= 20 dollars. |
Since he needs $20 and each hamburger is $5, Frank needs to sell 20/5= 4 more hamburgers |
4 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "In a Geometry exam, Madeline got 2 mistakes which are half as many mistakes as Leo. Brent scored 25 and has 1 more mistake than Leo. What is Madeline's score?" in 4? Please use examples related to potential situations in this context and cite relevant research. [/INST] Leo got 2 x 2 = 4 mistakes. |
So, Brent got 4 + 1 = 5 mistakes. |
This means that 25 + 5 = 30 is the perfect score. |
Hence, Madeline got a score of 30 - 2 = 28. |
28 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Out of the 300 comic books in a comic store, 30% are liked by females, males like 120, and both genders don't like the rest. What percentage of the comic books are disliked by both males and females?" in 5? Please use examples related to potential situations in this context and cite relevant research. [/INST] The number of comic books that females like is 30/100*300=90 books |
Together, both males and females like 90+120=210 comic books. |
The number of comic books that are disliked by both males and females is 300-210=90 |
The percentage of books that are disliked by both genders is 90/300*100=30% |
30 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Bernie has a collection of 18 unique postcards. He decided to sell half his collection for $15 per postcard. After he has successfully sold his postcards he decided to spend all the earned money to buy new postcards for $5 each. How many postcards does Bernie have after all his transactions?" in 1? Please use examples related to potential situations in this context and cite relevant research. [/INST] Half of Bernie's collection means 18 * 0.5 = 9 postcards. |
So he was able to sell 9 postcards for 9 * 15 = $135. |
He decided to spend all of his money on new postcards for $5 each, so he was able to buy 135 / 5 = 27 new postcards. |
This means Bernie has 9 + 27 = 36 postcards after all. |
36 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "While preparing balloons for Eva's birthday party, her mom bought 50 balloons and 1800cm³ of helium. One balloon needs 50cm³ to float high enough to touch the ceiling, and she can fill any remaining balloon with ordinary air. If she used up all of the helium and inflated every balloon, how many more balloons are touching the ceiling than not?" in 2? Please use examples related to potential situations in this context and cite relevant research. [/INST] 50cm³ will make one balloon touch the ceiling so 1800cm³ will make 1800/50 = 36 balloons touch the ceiling |
There are 50 balloons in total so 50-36 = 14 balloons will not float since they were filled with ordinary air |
There are 36-14 = 22 more balloons touching the ceiling than not |
22 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "James visits 20 houses to try and make a sale. He manages to sell something in every house. The next day he visits twice as many houses but only sold to 80% of houses. If he sold two things at each house in each of the two days, how many items did he sell?" in 3? Please use examples related to potential situations in this context and cite relevant research. [/INST] The second day he visited 20*2=40 houses |
So he sold things at 40*.8=32 houses |
So in total he sold things at 20+32=52 houses |
That means he sold 52*2=104 things |
104 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Eric decides to go to the park. He runs for 20 minutes, then jogs for 10 minutes to reach the park. When he returns, he takes a different route home and this takes him 3 times as long as his trip there. How long does it take Eric to return home?" in 4? Please use examples related to potential situations in this context and cite relevant research. [/INST] Eric’s trip to the park took 20 minutes running + 10 minutes jogging = 30 minutes. |
So his return trip took 30 minutes * 3 = 90 minutes. |
90 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Martha spends 10 minutes turning the router off and on again, six times that long on hold with Comcast, and half as much time as she spent on hold yelling at a customer service representative. How much time did Martha spend on these activities total?" in 5? Please use examples related to potential situations in this context and cite relevant research. [/INST] First find the total time Martha spent on hold: 10 minutes * 6 = 60 minutes |
Then find the time she spent yelling: 60 minutes / 2 = 30 minutes |
Then add all the amount of time to find the total time: 60 minutes + 30 minutes + 10 minutes = 100 minutes |
100 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Robi Ney wants to fill a 120-liter tub. He is amused by letting the water run for 1 minute, then closing the water supply for 1 minute, and so on alternating opening and closing the water supply. But the cap at the bottom of the tub is not very airtight and lets 1 liter of water escape per minute. The flow rate of the tap is 12 liters per minute. How long does it take to fill the tub in minutes?" in 1? Please use examples related to potential situations in this context and cite relevant research. [/INST] In 2 minutes, 12 liters of water flow into the bathtub and 2 liters (2 minutes x 1 liter/minute ) escape. |
This will leave 12 – 2 = 10 liters of water every two minutes |
We can divide the number of liters by the number of minutes to find the average flow per minute, which is 10 / 2 = 5 liters per minute |
To fill the tub, it will take 120 liters / 5 liters/min = 24 min |
24 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "A water tank has a capacity of 4000 gallons. Mack connects a pipe to the tank that fills the tank with water at the rate of 10 gallons per hour. How long will it take to fill the tank to 3/4 of its capacity?" in 2? Please use examples related to potential situations in this context and cite relevant research. [/INST] 3/4 of the water tank is 3/4*4000 = 3000 |
If the pipe fills the tank with water at the rate of 10 gallons per hour, it will take 3000/10 = 300 hours to fill the tank to 3/4 of its capacity |
300 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Paige bought some new stickers and wanted to share them with 3 of her friends. She decided to share a sheet of 100 space stickers and a sheet of 50 cat stickers equally among her 3 friends. How many stickers will she have left?" in 3? Please use examples related to potential situations in this context and cite relevant research. [/INST] Paige has 100 space stickers that she is dividing among 3 friends, so 100 stickers / 3 friends = 33 stickers for each friend, with 1 remaining. |
She also has 50 cat stickers that she is diving among 3 friends, so 50 stickers / 3 friends = 16 stickers for each friend, with 2 remaining. |
So Paige will have 1 remaining space sticker + 2 remaining cat stickers = 3 stickers left. |
3 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "The school principal decided that she wanted every class to have an equal number of boys and girls in each first-grade classroom. There are 4 classrooms. There are 56 boys and 44 girls. How many total students are in each classroom?" in 4? Please use examples related to potential situations in this context and cite relevant research. [/INST] Each classroom will have 14 boys because 56 boys divided into 4 classrooms equals 14 boys per classroom. |
Each classroom will have 11 girls because 44 girls divided into 4 classrooms equals 11 girls per classroom. |
In total, each classroom will have 25 students because 14 boys plus 11 girls equals 25 total students. |
25 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "After Betty gave Stuart 40% of her marble collection, the number of marbles in Stuart's collection increased to 80. If Betty had 60 marbles, how many marbles did Stuart have initially?" in 5? Please use examples related to potential situations in this context and cite relevant research. [/INST] If Betty had 60 marbles, she gave Stuart 40/100*60=24 marbles. |
Since the number of marbles in Stuart's collection increased to 80 after Betty gave him 24 marbles, the number of marbles he initially had is 80-24=56 |
56 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "On her birthday, Avianna bought red candles and blue candles in the ratio of 5:3. If Avianna had 45 red candles on her birthday, how many blue candles did she have?" in 1? Please use examples related to potential situations in this context and cite relevant research. [/INST] If the ratio of red candles to blue candles Avianna bought was 5:3, then the total ratio was 5+3 = 8. |
If 5 represented 45 candles in the total ratio, then 8, the actual ratio, represents 8*45 = 360 divided by 5 is 360/5 = 72 candles. |
If the total number of candles was 72, then the number of blue candles is 72 candles - 45 candles = 27 candles |
27 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Carl has been selling watermelons on the side of the road for $3 each. This evening he went home with $105 in profit and 18 watermelons. How many watermelons did he start out with this morning?" in 2? Please use examples related to potential situations in this context and cite relevant research. [/INST] Carl sells his watermelons for $3 each so today he sold $105 / $3 per watermelon = 35 watermelons. |
He had 18 watermelons left over, so this morning he started with 18 + 35 = 53 watermelons. |
53 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "John's neighbor tells him to walk his dog for 1 hour each day for a total of $10. He does this for April, save for the 4 Sundays in April. He later spent $50 on books and gave his sister Kaylee the same amount. How much money did John have left?" in 3? Please use examples related to potential situations in this context and cite relevant research. [/INST] April has 30 days, so if he didn't walk the dog on Sundays, he worked for a total of 30 days - 4 days = 26 days. |
If each day he earned $10, he ends up with 26 days * $10/day = $260 . |
After buying books and giving his sister $50, he ends up with $260 - $50 - $50 = $160 |
160 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Dakota gets hit by a bus and has to spend 3 days in the hospital. The hospital charges her $900/day for her bed, $250/hour for two specialists to look at her 15 minutes each, and $1800 for the ambulance ride. How much is Dakota's medical bill?" in 4? Please use examples related to potential situations in this context and cite relevant research. [/INST] First find the total cost of the hospital bed by multiplying the cost per day by the number of days: $900/day * 3 days = $2700 |
Then figure out how many minutes total the two specialists looked at Dakota: 15 minutes/specialist * 2 specialists = 30 minutes |
Then divide the number of minutes by the number of minutes per hour and multiply it by the specialists' hourly rate to find their total charge: 30 minutes / 60 minutes/hour * $250/hour = $125 |
Finally, add up the cost of the specialists, ambulance and bed to find Dakota's total bill: $2700 + $1800 + $125 = $4625 |
4625 </s> |