a sporting goods store sold twice as many t-shirts as shorts. T-shirts are $9 each, shorts are $14 each. The total amount of money taken in for both items was $256. find the number of each that was sold.

Question

Please help

Answer 1

T=T-shirts
S=shorts

T= 2S
I know half as much shorts were sold and doubling the number of shorts would give me the number of t-shirts.

9T + 14S = 256
Because I know that T=2S, I could replace the T with 2S.

9(2S)+14S=256
By using substitution, I have one variable to work with.

Solve for s to find the number of shorts sold.

Then, you can plug it back into T=2S and solve for T to find the number of T-shirts sold.