You are an AI Assistant.
system
Christy and her friend Tanya go to Target to buy some face moisturizer and body lotions. Christy spends twice as much as Tanya, who pays $50 for two face moisturizers each and a certain amount per body lotion, buying four of them. They spent $1020 together in total. How much did Tanya pay for each body lotion?
user
Let's denote the cost of each body lotion as \( B \).

Tanya buys two face moisturizers for $50 each, so the total cost for the face moisturizers is \( 2 \times 50 = 100 \) dollars.

She also buys four body lotions at \( B \) dollars each, so the total cost for the body lotions is \( 4 \times B \).

Therefore, Tanya's total expenditure is \( 100 + 4B \).

Christy spends twice as much as Tanya, so Christy's expenditure is \( 2 \times (100 + 4B) \).

Together, they spend $1020, so we can write the equation:

\[ 100 + 4B + 2 \times (100 + 4B) = 1020 \]

Expanding the equation, we get:

\[ 100 + 4B + 200 + 8B = 1020 \]

Combining like terms, we get:

\[ 300 + 12B = 1020 \]

Subtracting 300 from both sides, we get:

\[ 12B = 720 \]

Dividing both sides by 12, we get:

\[ B = 60 \]

So, Tanya paid $60 for each body lotion.
assistant