At a park, each adult ticket cost $22 and each child ticket cost $8. On Thursday, the number of adult tickets sold was 75 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 20%. If a total of 275 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 75 |
2 u + 75 |
Change |
- 0.35 u |
+ 0.2 u + 15 |
|
After |
0.65 u |
1.2 u + 90 |
1.85 u + 90 |
35% x 1 u =
35100 x 1 u = 0.35 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 75 =
20100 x 75 = 15
Number of tickets sold on Friday
= 0.65 u + 1.2 u + 90
= 1.85 u + 90
1.85 u + 90 = 275
1.85 u = 275 - 90
1.85 u = 185
1 u = 185 ÷ 1.85 = 100
Amount collected from adult tickets on Thursday
= 1 u x 22
= 100 x 22
= $2200
Amount collected from child tickets on Thursday
= 8(1 u + 75)
= 8(100 + 75)
= 8 x 175
= $1400
Total amount collected on Thursday
= 2200 + 1400
= $3600
Answer(s):$3600