Amber R. answered • 05/02/16

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High School Math Teacher/Tutor with experience and encouragement!

Hi Nick, let's figure this out!

You may solve this by setting up a system of linear equations.

Let S = the number of short-sleeved t-shirts sold

Let L = the number of long-sleeved t-shirts sold

You need an equation about the number of shirts sold:

S + L = 36

You need another equation about the value of shirts sold:

12S + 18L = 522

To solve by elimination, multiply the first equation by -12.

-12S - 12L = -432

+ 12S + 18L = 522

Now add straight down (vertically):

6L = 90

L = 15

Replace L with 15 in either of the original equations. I used the first one.

S + L = 36

S + 15 = 36

S = 21

So, 15 long-sleeved t-shirts and 21 short-sleeved t-shirts were sold.