Question

The Jurassic Zoo charges $15 for each adult admission and $12 for each child. The total bill for the 95 people from a school trip was $1200. How many adults and how many children went to the zoo?

Answer 1

20 Adults, 75 Children

Step-by-step explanation:

15 per adult, and 12 per child resulted in a payment of 1200

we can write this as 15A + 12C = 1200

We also know some number of adults and children went, totaling 95 people.

we can write this as A + C = 95.

To get A and C, we can solve this system of equations.

15A + 12C = 1200

A + C = 95

Eliminate A from the system by multiplying the second equation by -15:

15A + 12C = 1200

-15A - 15C = -1425

Adding the two produces:

-3C = -225, so C (the number of children) = 75

We know A + C = 95 (adults + children = 95), so 95 - C = 95 - 75 = 20 = A, the number of adults.

so A = 20, and C = 75