The school store sells midville high t-shirts for $12 each and midville high gym shorts for $8 a pair. one afternoon they sold a total of 41 t-shirts and pairs of shorts for a total of $416. how many t-shirts did they sell and how many pairs of shorts did they sell?

Set it up into equations

x=shirts

y=shorts

12x + 8y = $416

x+y = 41

now solve for x, and substitute into other equation

x=41 - y

12 (41 - y) + 8y = $416

492y - 12y + 8y = $416

-4y = - 76

y = 19

so now take y and put into either equation: x + 19 = 41, x = 22

Always check your answers.