The ticket prices for a movie are shown in the illustration. Receipts for one showing were $1,990 for an audience of 215 people. How many general admission tickets and how many senior citizen tickets were sold?

Question

(General admission tickets: $10
Senior tickets: $6)

Answer 1

count the tickets: g+s = 215
count the dollars: 10g+6s = 1990

Now crank it out.

Answer 2

g = 215 - s

10g + 6s = 1990

Substitute 215-s for g in the second equation and solve for s. Insert that value into the first equation to solve for g. Check by putting both values into the second equation.

Answer 3

S= 40
g = 150