movie tickets cost $6 for a child and $10 for an adult. a showing of a movie brought in $600 in ticket…
movie tickets cost $6 for a child and $10 for an adult. a showing of a movie brought in $600 in ticket sales. if 15 adult tickets were purchased, how many child tickets must have been purchased for the showing to have brought in $600 in sales? show work here.
Answer
Explanation:
Step1: Calculate adult - ticket revenue
The cost of an adult ticket is $10, and 15 adult tickets were sold. So the revenue from adult tickets is $10\times15 = 150$.
Step2: Calculate child - ticket revenue
The total ticket sales is $600. Subtract the adult - ticket revenue from the total sales to get the child - ticket revenue. So the child - ticket revenue is $600−150 = 450$.
Step3: Calculate the number of child tickets
The cost of a child ticket is $6. Divide the child - ticket revenue by the cost of a child ticket to find the number of child tickets. So the number of child tickets is $\frac{450}{6}=75$.
Answer:
75