Question

A zoo train ride costs $5 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who took the ride was 17, and the total money collected was $65. What was the number of children and the number of adults who took the train ride that day, and which pair of equations can be solved to find the numbers?

5 children and 12 adults
Equation 1: a + c = 17
Equation 2: 5a − c = 65
12 children and 5 adults
Equation 1: a + c = 17
Equation 2: 5a + c = 65
12 children and 5 adults
Equation 1: a + c = 17
Equation 2: 5a − c = 65
5 children and 12 adults
Equation 1: a + c = 17
Equation 2: 5a + c = 65

Answer 1

D) 5 children and 12 adults

Equation 1: a + c = 17

Equation 2: 5a + c = 65

Explanation:

I just took the test

Answer 2

The correct answers are 12 adults and 5 children.

The correct equations are:
a + c = 17

and 5a + c = 65
This means the very last answer is correct.

You should justify this with
12 x $5 = $60 for the adults
5 x $1 = $5 for the children.

The total number of people would be 12 + 5 = 17.