### Instruction: Gina has five pairs of white socks, three pairs of black socks, and two pairs of red socks. What percent of her socks are red?### Response: I need to find the fraction of red socks out of the total number of socks, and then convert it to a percentage.
To find the fraction, I need to count how many red socks and how many total socks there are.
Since each pair has two socks, I can multiply the number of pairs by two to get the number of socks.
Gina has five pairs of white socks, so that's 5 times 2, or 10 white socks.
She has three pairs of black socks, so that's 3 times 2, or 6 black socks.
She has two pairs of red socks, so that's 2 times 2, or 4 red socks.
The total number of socks is the sum of the white, black, and red socks: 10 plus 6 plus 4, which is 20.
The fraction of red socks is the number of red socks over the total number of socks: 4 over 20, which can be simplified by dividing both numerator and denominator by 4, giving 1 over 5.
To convert a fraction to a percentage, I can multiply by 100 and add a percent sign.
So 1 over 5 times 100 is 20, and adding a percent sign gives 20%.