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

Answer:

98

Step-by-step 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.