Answer:
- Number of children's ticket sold =41
- Number of adult ticket sold=53
Step-by-step 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
