At a theme park, each adult ticket cost $32 and each child ticket cost $16. On Monday, the number of adult tickets sold was 190 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 5% while the number of child tickets sold increased by 20%. If a total of 1948 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 190 |
2 u + 190 |
Change |
- 0.05 u |
+ 0.2 u + 38 |
|
After |
0.95 u |
1.2 u + 228 |
2.15 u + 228 |
5% x 1 u =
5100 x 1 u = 0.05 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 190 =
20100 x 190 = 38
Number of tickets sold on Tuesday
= 0.95 u + 1.2 u + 228
= 2.15 u + 228
2.15 u + 228 = 1948
2.15 u = 1948 - 228
2.15 u = 1720
1 u = 1720 ÷ 2.15 = 800
Amount collected from adult tickets on Monday
= 1 u x 32
= 800 x 32
= $25600
Amount collected from child tickets on Monday
= 16(1 u + 190)
= 16(800 + 190)
= 16 x 990
= $15840
Total amount collected on Monday
= 25600 + 15840
= $41440
Answer(s):$41440