At a safari park, each adult ticket cost $21 and each child ticket cost $5. On Thursday, the number of adult tickets sold was 85 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 40%. If a total of 1554 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 85 |
2 u + 85 |
Change |
- 0.35 u |
+ 0.4 u + 34 |
|
After |
0.65 u |
1.4 u + 119 |
2.05 u + 119 |
35% x 1 u =
35100 x 1 u = 0.35 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 85 =
40100 x 85 = 34
Number of tickets sold on Friday
= 0.65 u + 1.4 u + 119
= 2.05 u + 119
2.05 u + 119 = 1554
2.05 u = 1554 - 119
2.05 u = 1435
1 u = 1435 ÷ 2.05 = 700
Amount collected from adult tickets on Thursday
= 1 u x 21
= 700 x 21
= $14700
Amount collected from child tickets on Thursday
= 5(1 u + 85)
= 5(700 + 85)
= 5 x 785
= $3925
Total amount collected on Thursday
= 14700 + 3925
= $18625
Answer(s):$18625