As a fundraiser, the music club sold shirts. they sold a total of 40 shirts. children's shirts cost $13 and adult shirts cost $17. if they collected a total of $588 from the sale of the shirts, how many adult shirts were sold?

17 adult shirts were sold

Step-by-step explanation:

x = adult shirts and y = children shirts

x + y = 40adult shirts + child shirts = 40 total shirts

17x + 13y = 588...$ 17 for each adult shirt (x) + $ 13 for each child shirt (y) = $ 588

these are the equations we will be using.

now lets rearrange the first onex + y = 40x = 40 - ynow sub 40 - y in for x back into the second equation

17x + 13y = 588

17(40 - y) + 13y = 588

680 - 17y + 13y = 588

-17y + 13y = 588 - 680

-4y = - 92

y = -92/-4

y = 23 <=== so there were 23 child shirts sold

x + y = 40

x + 23 = 40

x = 40 - 23

x = 17 < and 17 adult shirts sold

check...

17x + 13y = 588

17(17) + 13(23) = 588

289 + 299 = 588

588 = 588 (correct)