At a bird park, each adult ticket cost $39 and each child ticket cost $10. On Monday, the number of adult tickets sold was 88 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 50%. If a total of 1207 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 88 |
2 u + 88 |
Change |
- 0.35 u |
+ 0.5 u + 44 |
|
After |
0.65 u |
1.5 u + 132 |
2.15 u + 132 |
35% x 1 u =
35100 x 1 u = 0.35 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 88 =
50100 x 88 = 44
Number of tickets sold on Tuesday
= 0.65 u + 1.5 u + 132
= 2.15 u + 132
2.15 u + 132 = 1207
2.15 u = 1207 - 132
2.15 u = 1075
1 u = 1075 ÷ 2.15 = 500
Amount collected from adult tickets on Monday
= 1 u x 39
= 500 x 39
= $19500
Amount collected from child tickets on Monday
= 10(1 u + 88)
= 10(500 + 88)
= 10 x 588
= $5880
Total amount collected on Monday
= 19500 + 5880
= $25380
Answer(s):$25380