The course fee per child of a summer camp varies inversely as the number of participating children. If there are 50 children participating in the camp, the course fee is $372 per child. Identify the course fee per child, if 75 children join the camp.

Question

Crystal Huff

Mathematics

7 September, 09:00

The course fee per child of a summer camp varies inversely as the number of participating children. If there are 50 children participating in the camp, the course fee is $372 per child. Identify the course fee per child, if 75 children join the camp.

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Answers (1)

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Lucille Fitzgerald · Answer 1

The cost per child = $248

Step-by-step explanation:

∵ The cost per child ∝ 1/number of children

∴ C. C = K/N. C ⇒ (K is a constant)

∵ C. C = $372, N. C = 50

∴ 372 = K/50

∴ K = 372 * 50 = 18600

∴ C. C = 18600/N. C

∵ N. C = 75

∴ C. C = 18600/75 = $248