Admisson for adults and children

Question

The Jurassic Zoo charges $15 for each adult admission and $5 for each child. The total bill for the 197 people from a school trip was $1485. How many adults and how many children went to the zoo

Answer 1

Hi Alaina,

 

Let the number of adults on the trip be A and the number of children be C.

If 197 people went on the trip, then A + C = 197

 

The cost for all of the adults is 15A and the cost for all of the children is 5C.

So, 15A + 5C = 1485

 

If A + C = 197, then A = 197 - C

Substitute this in for A in the second equation:

 

15A + 5C = 1485

15(197 - C) + 5C = 1485

2955 - 15C + 5C = 1485

2955 - 10C = 1485

-10C = -1470

C = 147

 

There were 147 children on the trip.

 

Since A = 197 - C

A = 197 - 147

A = 50

 

There were 50 adults.

 

Hope this helps. :)