Question

Jack and Jill have gone into business together, Jill promotes and sells

tickets for Jack who performs interpretive dance. They charge $2.50 for
adults and $1.25 for children. One performance sells 12 more tickets to
adult than children. In total they make $183.75. How many of each ticket
did they sell? *​

Answer 1

• Number of children's ticket sold =41
• Number of adult ticket sold=53

Explanation:

Adult's ticket price= $2.50

Children's ticket price= $1.25

• Let the number of children's ticket sold =x

One performance sells 12 more tickets to adult than children.

• Therefore, the number of adult ticket sold =x+12

In total they make $183.75.

Therefore, we have that:

1.25x+2.50(x+12)=$183.75

We solve the resulting equation for x.

Open the brackets

1.25x+2.5x+30=183.75

Collect like terms

3.75x=183.75-30

3.75x=153.75

Divide both sides by 3.75

x=41

Therefore:

• Number of children's ticket sold ,x=41
• Number of adult ticket sold, x+12 =41+12=53