Charity O.
asked • 09/28/18How many shirts and trousers did he buy?
Isaac is going to boarding school. He buys school shirts at €35 each and trousers at €49 each. Altogether he buys 9 items, and their total cost is €357. How many shirts and how many trousers did he buy?
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1 Expert Answer
Andrew M. answered • 09/28/18
Tutor
New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors
Let s = number of shirts bought
Let t = number of trousers bought
He bought 9 items:
s + t = 9 {equation 1}
Total price is 357
35s + 49t = 357 {equation 2}
In equation 1 solve for one variable in terms of the other:
t = 9 - s
Substitute that into equation 2
35s + 49(9-s) = 357
35s + 441 - 49s = 357
-14s = 357 - 441
-14s = -84
s = (-84)/(-14)
s = 6 shirts
t = 9-6 = 3 trousers
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