At a zoo, each adult ticket cost $26 and each child ticket cost $15. On Tuesday, the number of adult tickets sold was 120 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 30% while the number of child tickets sold increased by 20%. If a total of 334 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 120 |
2 u + 120 |
Change |
- 0.3 u |
+ 0.2 u + 24 |
|
After |
0.7 u |
1.2 u + 144 |
1.9 u + 144 |
30% x 1 u =
30100 x 1 u = 0.3 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 120 =
20100 x 120 = 24
Number of tickets sold on Wednesday
= 0.7 u + 1.2 u + 144
= 1.9 u + 144
1.9 u + 144 = 334
1.9 u = 334 - 144
1.9 u = 190
1 u = 190 ÷ 1.9 = 100
Amount collected from adult tickets on Tuesday
= 1 u x 26
= 100 x 26
= $2600
Amount collected from child tickets on Tuesday
= 15(1 u + 120)
= 15(100 + 120)
= 15 x 220
= $3300
Total amount collected on Tuesday
= 2600 + 3300
= $5900
Answer(s):$5900