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)

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d