Question

At the movie theater, child admission is $5.50 and adult admission is $8.60. On Saturday, 137 tickets were sold for a total sale of $986.00. How many child tickets were sold that day?

Answer 1

Answer:

The number of child tickets were sold is 75

Step-by-step explanation:

Given as :

The price of tickets for child admission = $5.50

The price of tickets for adult admission = $8.60

The total numbers of tickets sold = 137

The total price of tickets sold = $986.00

Let The number of tickets for child = C

The number of tickets for adults = A

So, According to question

A + C = 137

And 5.50 A + 8.60 C = 986

Solve the above equation

5.5 A + 5.5 C = 137 × 5.5

or, 5.5 A + 5.5 C = 753.5

Or, ( 5.5 A + 8.6 C) - ( 5.5 A + 5.5 C) = 986 - 753.5

Or, (5.5 A - 5.5 A) + (8.6 C - 5.5 C) = 232.5

Or, 0 + 3.1 C = 232.5

∴  C = $\frac{232.5}{3.1}$ = 75

And A = 137 - C = 137 - 75 = 62

Hence The number of child tickets were sold is 75. Answer