Question

To attend a local auto show, children admission was $5, adult admission was $9, and senior admission was $7. In all, 149 people attended the show, bringing in a total of $1061 of admission sales. Prior to leaving, every adult and senior filled out one free raffle ticket for a chance to win a new Ferrari. A total of 110 raffle tickets were filled out. How many children attended the show? How many adults attended the show? How many seniors attended the show?

Answer 1

Children Admission = $5

Adult Admission = $9

Senior Admission = $7

Every adult and senior filled out one free Raffle ticket. A total of 110 Raffle tickets were filled out, which means out of the total 149, 110 were either an adult or a senior.

So the number of children attended the show =

Total admission sales = $1061.

Contribution of Children = 39 × 5 = 195.

Remaining contribution = .

This contribution is from 110 people who are either adults or seniors.

Let the number of Seniors be and the number of adults be .

So .

Also from the Sales contribution, we know .(1)

means (2)

Subracting (2) from (1), we get or

or

So the number of Adults are 48 and the number of Seniors are 62.

Answer : The number of people attended the show are as follows.

Children = 39

Adult = 48

Seniors = 62