SOLUTION: In a park, the ratio of adults to children is 15 to 7. If there are 374 people in the park, how many children are there?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a park, the ratio of adults to children is 15 to 7. If there are 374 people in the park, how many children are there?      Log On


   

Question 1148162: In a park, the ratio of adults to children is 15 to 7. If there are 374 people in the park, how many children are there?
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) About Me  (Show Source):
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Given the ratio of adults to children is 15 to 7, we know 7 out of every 22 people in the park are children. Then if the total number of people in the park is 374, the number of children is

%287%2F22%29%2A374+=+7%2A%28374%2F22%29+=+7%2A17+=+119

ANSWER: 119 children

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the number of children in the park.


Then the number of adults is (374-x), according to the condition.


Further, the condition says that


    %28374-x%29%2Fx = 15%2F7.


To solve this equation, cross multiply and then simplify


    7*(374 - x) = 15x

    7*374 - 7x = 15x

    7*374      = 15x + 7x

    7*374      = 22x

    x           = %287%2A374%29%2F22 = 119.


ANSWER.  There are 119 children in the park.

Solved.