Question

The badminton club in a school spent $681 to buy 50 T-shirts and shorts for its members. Each T-shirt cost $12 and each pair of shorts cost $15. How many T-shirts did the club buy?

Answer 1

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Answer 2

Answer:

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Step-by-step explanation:

Let T = # tee shirts purchased

Let S = # shorts purchased

 From the information given we can make two equations:

 1)  T + S = 50             total items purchased is 50

2)  12T + 15S = 681    total money spent is $681

 In equation 1 solve for one variable in terms of the other.

T = 50-S

 Substitute 50-S in place of T in equation 2 to solve for S

 12(50-S) + 15S = 681

600 - 12S + 15S = 681

600 + 3S = 681

3S = 81

S = 27     they purchased 27 shorts

 T = 50-S = 50-27 = 23   They purchased 23 Tee shirts