Question

At the city museum, child admission is $5.20 and adult admission is $8.60 . On Saturday, 159 tickets were sold for a total sales of $1054.60. How many child tickets were sold that day?

Answer 1

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=1097.639.2=28

and so:

a=4c=4⋅28