Question

Child admissions is 5.50 adult admission is 9.80 159 tickets where sold total sales 1136.80 how many where child admissions

Answer 1

98

Explanation:

Given that:

Total number of tickets sold = 159

Ticket price for child admissions = 5.50

Ticket price for adult admissions = 9.80

Total money spent = 1136.80

To find:

The number of child admissions.

Solution:

Let number of child admissions =
`x`

Let number of adult admissions =
`y`

As per question statement:

`x+y = 159` ...... (1)

and

Money spent for child admissions = 5.50
`x`

Money spent for adult admissions = 9.80
`y`

`5.50x+9.80y = 1136.80` ...... (2)

Using equation (1):

`y = 159-x`

Putting in equation (2) from above:

`5.50x+9.80(159-x) = 1136.80\\\Rightarrow 5.50x+1558.2-9.8x=1136.80\\\Rightarrow 4.3x = 421.4\\\Rightarrow x = \bold{98}`

Therefore, total number of child admissions is 98.