Question

.

A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75. If 1,042 total fares were paid, which system of linear equations can be used to find , the number of regular fares paid, and , the number of reduced fares paid?

Answer 1

`x + y = 1042`

`1.5x + 0.75y = 1140`

Explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of regular fares paid.

y is the number of reduced fares paid.

1,042 total fares were paid

This means that
`x + y = 1042`

A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75.

This means that:

`1.5x + 0.75y = 1140`

System of equations:

The system of equations is:

`x + y = 1042`

`1.5x + 0.75y = 1140`