Question

The town glee club sold tickets for the summer concert. The club charged $8 for a child ticket and $18 for an adult ticket. A total of $8,400 in ticket sales was raised. The number of adult tickets, a, is 50 more than twice the number of child tickets, c. Which system of equations will solve for the number of each type of ticket?

Answer 1

b

Explanation:

Answer 2

Let a represent the number of adult tickets sold

Let c represent the number of children tickets cold

Equation for total sales:

8c+18a=8,400

Equation for how the tickets relate:

a=2c+50

ANSWER

8c+18a=8,400

STEP 1: Add -8c on both sides

18a=(-8c)+8,400

STEP 2: Divide both sides by 18

18a / 18 = -8c+8,400/18

a=-4/9c + 1,400/3