Question

In an evening, a sporting goods store sold twice as many T-shirts as Shorts.

T-shirts are $9 each, and shorts are $14 each. The total amount of money taken in
for both items was $256. Find the number of each that was sold.

Answer 1

8 Shorts 16 shirts

Explanation:

*= times

Let x=number of shorts sold

Amount of money taken in from shorts=14x

Then 2x=number of T-shirts sold

Amount of money taken in from T-shirts=9*2x or 18x

Now we are told that (1)+(2)=$256. So our equation to solve is:

14x+18x=256 collect like terms

32x=256 divide both sides by 32

x=8 number of shorts sold

2x=2*8=16 number of T-shirts sold