At a safari park, each adult ticket cost $39 and each child ticket cost $6. On Tuesday, the number of adult tickets sold was 180 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 35%. If a total of 1143 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 180 |
2 u + 180 |
Change |
- 0.1 u |
+ 0.35 u + 63 |
|
After |
0.9 u |
1.35 u + 243 |
2.25 u + 243 |
10% x 1 u =
10100 x 1 u = 0.1 u
35% x 1 u =
35100 x 1 u = 0.35 u
35% x 180 =
35100 x 180 = 63
Number of tickets sold on Wednesday
= 0.9 u + 1.35 u + 243
= 2.25 u + 243
2.25 u + 243 = 1143
2.25 u = 1143 - 243
2.25 u = 900
1 u = 900 ÷ 2.25 = 400
Amount collected from adult tickets on Tuesday
= 1 u x 39
= 400 x 39
= $15600
Amount collected from child tickets on Tuesday
= 6(1 u + 180)
= 6(400 + 180)
= 6 x 580
= $3480
Total amount collected on Tuesday
= 15600 + 3480
= $19080
Answer(s):$19080