Question

A zoo train ride costs $2 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who took the ride was 33, and the total money collected was $44. 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?

11 children and 22 adults
Equation 1: a + c = 33
Equation 2: 2a – c = 44
11 children and 22 adults
Equation 1: a + c = 33
Equation 2: 2a + c = 44
22 children and 11 adults
Equation 1: a + c = 33
Equation 2: 2a – c = 44
22 children and 11 adults
Equation 1: a + c = 33
Equation 2: 2a + c = 44

Answer 1

The answer is D)

Explanation:

I took the test!

Answer 2

22 children and 11 adults

Equation 1: a + c = 33

Equation 2: 2a + c = 44

Explanation:

Equation 1 is the equation that describes the number of tickets sold.

Equation 2 is the equation that describes the total revenue from ticket sales. The revenue is the sum of products of ticket price and number of tickets sold.

The solution to these equations is ...

a = 11, c = 22

The solution is easily checked in the equations:

11 + 22 = 33 . . . . true

2·11 + 22 = 44 . . . true