A youth group and their leaders visited Mammoth Cave. Two adults and 5 students in one van paid $77 for the grand Avenue tour of the cave. Two adults and 7 students in a second van paid $95 for the same tour. Find the adult price and the student price of the tour.

Question

Mathematics

Kymani Moore

20 July, 04:39

A youth group and their leaders visited Mammoth Cave. Two adults and 5 students in one van paid $77 for the grand Avenue tour of the cave. Two adults and 7 students in a second van paid $95 for the same tour. Find the adult price and the student price of the tour.

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Answers (1)

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Milo Kane · Answer 1

2a+7s=95

-2a-5s=-77

2s=18, s=9, making 2a+7s=95 become:

2a+7 (9) = 95

2a+63=95

2a=32

a=16

So adult price is $16.00

check ... a=16, s=9

2a+7s=95

32+63=95

95=95

2a+5s=77

32+45=77

77=77

correct