Answer:
[tex]A+C=617...(1)[/tex]
[tex]2A+C=1171...(2)[/tex]
Step-by-step explanation:
Let A represent number of adults and C represent number children.
We have been given that there are 617 rider. We can represent this information in an equation as:
[tex]A+C=617...(1)[/tex]
We are also told that the city bus line charges $2 per adult, so cost of ride for A adults would be [tex]2A[/tex].
The city bus line charges $1 per child to ride, so cost of ride for C children would be [tex]1C=C[/tex].
We are told that a bus driver collects $1,171 from 617 riders. This means total ride cost of A adults and C children is equal to $1171. We can represent this information in an equation as:
[tex]2A+C=1171...(2)[/tex]
Therefore, our required system of equations would be:
[tex]A+C=617...(1)[/tex]
[tex]2A+C=1171...(2)[/tex].
