There are 450 people at a play, the total receipt for $600 and the admission was $2 for adults and $0.75 for children, how many adults and how many children were in attendance?

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asked May 23, 2020 55.9k views

1 vote

There are 450 people at a play, the total receipt for $600 and the admission was $2 for adults and $0.75 for children, how many adults and how many children were in attendance?

Mathematics
high-school

Mykaf asked

by Mykaf

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1 Answer

1 vote

Answer:

340 children, 210 adults.

Explanation:

$Let \ a \ - adults, \ c - children;\\c + a = 450\\0.75c + 2a = 600|\cdot 4\\3c + 8a = 2400;\\\\c + a = 450|\cdot(-3)\\3c + 8a = 2400\\-3c -3a = -1350\\5a = 1050 => a = 210, c = 450 -210 = 340.$