Question

At a county fair, an adult ticket sold for $6.00, a senior citizen’s ticket for $4.50, and a child’s ticket for $2.00. On Friday, the number of adults and senior citizen’s tickets sold was 5 more than the number of children’s tickets sold. The number of adult tickets sold was 5 more than three times the number of senior citizen’s tickets sold. Total receipts from the ticket sales were $335.00. How many children’s tickets were sold?

:( I don't get how to solve this... I have this:

a+s=5+c

a=5+3(s)

a+s+c=335... but I don't get the numbers... can someone explain?

Answer 1

Not the number of tickets a+s+c = 335, but the value of the tickets.

6.00a + 4.50s + 2.00c = 335.00

Now you have three equations in 3 variables (after clearing fractions:

a - c + s = 5
a - 3s = 5
12a + 4c + 9s = 670

(a,c,s) = (35,40,10)