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

Sagot :

isyllus

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 = [tex]x[/tex]

Let number of adult admissions = [tex]y[/tex]

As per question statement:

[tex]x+y = 159[/tex] ...... (1)

and

Money spent for child admissions = 5.50[tex]x[/tex]

Money spent for adult admissions = 9.80[tex]y[/tex]

[tex]5.50x+9.80y = 1136.80[/tex] ...... (2)

Using equation (1):

[tex]y = 159-x[/tex]

Putting in equation (2) from above:

[tex]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}[/tex]

Therefore, total number of child admissions is 98.

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