At a safari park, each adult ticket cost $30 and each child ticket cost $15. On Monday, the number of adult tickets sold was 110 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 40%. If a total of 564 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 110 |
2 u + 110 |
Change |
- 0.35 u |
+ 0.4 u + 44 |
|
After |
0.65 u |
1.4 u + 154 |
2.05 u + 154 |
35% x 1 u =
35100 x 1 u = 0.35 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 110 =
40100 x 110 = 44
Number of tickets sold on Tuesday
= 0.65 u + 1.4 u + 154
= 2.05 u + 154
2.05 u + 154 = 564
2.05 u = 564 - 154
2.05 u = 410
1 u = 410 ÷ 2.05 = 200
Amount collected from adult tickets on Monday
= 1 u x 30
= 200 x 30
= $6000
Amount collected from child tickets on Monday
= 15(1 u + 110)
= 15(200 + 110)
= 15 x 310
= $4650
Total amount collected on Monday
= 6000 + 4650
= $10650
Answer(s):$10650