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?
Accepted Solution
A:
Answer:The number of child tickets were sold is 75Step-by-step explanation:Given as :The price of tickets for child admission = $5.50The price of tickets for adult admission = $8.60The total numbers of tickets sold = 137The total price of tickets sold = $986.00Let The number of tickets for child = CThe number of tickets for adults = ASo, According to question A + C = 137 And 5.50 A + 8.60 C = 986Solve the above equation 5.5 A + 5.5 C = 137 × 5.5or, 5.5 A + 5.5 C = 753.5Or, ( 5.5 A + 8.6 C) - ( 5.5 A + 5.5 C) = 986 - 753.5Or, (5.5 A - 5.5 A) + (8.6 C - 5.5 C) = 232.5Or, 0 + 3.1 C = 232.5∴ C = [tex]\frac{232.5}{3.1}[/tex] = 75 And A = 137 - C = 137 - 75 = 62Hence The number of child tickets were sold is 75. Answer