the jurassic zoo charges $5 for each adult admission and $3 for each child. the total bill for the 166 people from a school trip was $606. how many adults and how many children went to the zoo?

the jurassic zoo charges $5 for each adult admission and $3 for each child. the total bill for the 166 people from a school trip was $606. how many adults and how many children went to the zoo?
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Let the number of adults be a and the number of children be c, so a+c=166.

Total cost is 606=5a+3c=5a+3(166-a)=5a+498-3a=2a+498.

So, 2a=606-498=108 and a=54 so c=166-54=112.

Therefore 54 adults and 112 children went to the zoo.

 

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