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?
1 answer:
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 = = 75
And A = 137 - C = 137 - 75 = 62
Hence The number of child tickets were sold is 75. Answer
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