Question

A group of people pays$720 for admission tickets to an amusement part. The price of an adult ticket is $15 and a child ticket is $8. There are 25 more adults than children. How many children are in the group?

Answer 1

Answer:

15

Step-by-step explanation:

Set the number of children to n.

The number of adults is, thus, n + 25.

The total price of admission is $720, made up of adult tickets and child tickets.

The children paid $8 per child, or

8 * n

The adults paid $15 per adult, or

15 * (n + 25)

These sum of these is equal to the total cost of $720.

8*n + 15*(n + 25) = 720

8n + 15(n + 25) = 720

Multiplying 15 with both n and 25.

8n + 15n + 25*15 = 720

8n + 15n + 375 = 720

Subtracting 375 from both sides.

8n + 15n + 375 - 375 = 720 - 375

8n + 15n = 345

Adding together 8n and 15n.

23n = 345

Dividing both sides by 23.

n = 345/23 = 15

n = 15

As n is the number of children, there are 15 children in the group.

Answer: 15