Question

At the city museum, child admission is $5.20 and adult admission is $9.20. On Wednesday, 150 tickets were sold for a total sales of 996.00. How many adult tickets were sold that day?

Answer 1

Step-by-step explanation:
You can call “c” the number of children and “a”of adults; you get:
5.20c + 8.50a = 1097.60

and

a =4c meaning that the number of adults was four times the children.
Substituting this value of “a” into the first equation we get:
5.2c + 8.5(4c) = 1097.6
5.2c + 34c = 1097.6

rearranging:
c = 1097.6 / 39.2
= 28

and so:
a=4c
= 4.28
= 112