The admission fee for an amusement park is $19 for adults and $9.50 for children. One weekend, 3806 people paid admission for the amusement park, and the park made $55,157. How many adults and how many children paid to go to the amusement park that weekend?

Question

Jordyn Rocha

Mathematics

25 January, 09:33

The admission fee for an amusement park is $19 for adults and $9.50 for children. One weekend, 3806 people paid admission for the amusement park, and the park made $55,157. How many adults and how many children paid to go to the amusement park that weekend?

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Answers (1)

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Nehemiah Nicholson · Answer 1

A + c = 3806 ... a = 3806 - c

19a + 9.5c = 55157

19 (3806 - c) + 9.5c = 55157

72314 - 19c + 9.5c = 55157

-19c + 9.5c = 55157 - 72314

-9.5c = - 17157

c = - 17157/-9.5

c = 1806 < = = # of children

and there were 2000 adults