Question

The football players had to sell DEVIL FOOTBALL t-shirts to raise money for their next uniforms.They charged $14 for short sleeve shirts and $17 for long sleeve shirts. At the end of the fundraiser, they had sold 24 shirts and had made $378. How many of each type of shirt did they sell?

Use

S as the number of short sleeve shirts and

L as the number of long sleeve shirts.


PLS HELP

Answer 1

Let's set up a system of equations to solve for S and L:

S + L = 24 (they sold a total of 24 shirts)

14S + 17L = 378 (the total amount made from selling the shirts was $378)

We can solve for one variable in the first equation and substitute it into the second equation:

S = 24 - L

14(24 - L) + 17L = 378

336 - 14L + 17L = 378

3L = 42

L = 14

So they sold 14 long sleeve shirts. We can substitute this value back into the first equation to solve for S:

S + 14 = 24

S = 10

Therefore, they sold 10 short sleeve shirts and 14 long sleeve shirts.