Question

An amusement park sells child and adult tickets at a ratio of 8:1. On Saturday they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday.

Answer 1

189 tickets were sold in amusement park on Saturday.

Explanation:

Given:

The ratio of child and adult tickets = 8:1

sold 147 more child tickets than adult tickets

To Find:

Number of tickets sold on Saturday in the amusement park = ?

Solution:

Let

The number of child ticket be x

The number of adult ticket be y

Then from the ratio we know that there are 8 child ticket than adult ticket

=> x =8y------------------------------(1)

Also, they sold 147 more child tickets than adult tickets

=> x = 147 +y--------------------------(2)

Equating (1) and (2)

8y = 147 +y

8y-y = 147

7y=147

y =
`(147)/(7)`

y =21

So The number of adult tickets were 21

Now the child ticket

x = 147 +y

x = 147+21

x= 168

Total tickets = adult ticket + child ticket

=>21 +168

=> 189 tickets