How many adults and how many children went on the trip?

Question

 Ms. Berry took her class on a field trip to the arch. A child's ticket cost $5.00 and an adult's ticket is $10.00. The total cost of the trip is $220.00. 40 people went on the trip. How many adults and how many children went on the trip?

Answer 1

Let A = the number of adults and C = the number of children.

 

A + C = 40

10 A + 5C = 220

 

There a several ways to solve this system; here is one way.

 

From the first equation: A = 40 - C

 

Substitute in the second equation: 10(40 - C) + 5C = 220

Expand, collect terms, and then subtract 400 from each side: -5C = -180

Divide by -5

 

C = 36 and A = 4