Question

The admission fee at a local zoo is $1.50for children and $7.00for adults. On a certain day, 2900 people enter the zoo and $14250.00 is collected. How many children and how many adults attended?

Answer 1

Let x represent the number of children that attended

Let y represent the number of adults that attended

From the information given,

If on a certain day, 2900 people entered the zoo, it means that

x + y = 2900

The admission fee at a local zoo is $1.50 for children and $7.00for adults. This means that the admission fee for x children is 1.5 * x = 1.5x and the admission fee for y adults is 7 * y = 7y

If the total amount received from 2900 people is $14250, it means that

1.5x + 7y = 14250

From the first equation, x = 2900 - y

By substituting x = 2900 - y into the second equation, we have

1.5(2900 - y) + 7y = 14250

4350 - 1.5y + 7y = 14250

- 1.5y + 7y = 14250 - 4350

5.5y = 9900

y = 990/5.5

y = 1800

x = 2900 - y = 2900 - 1800

x = 1100

Thus, 1100 children and 1800 adults attended