At a safari park, each adult ticket cost $34 and each child ticket cost $16. On Friday, the number of adult tickets sold was 70 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 40%. If a total of 328 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 70 |
2 u + 70 |
Change |
- 0.1 u |
+ 0.4 u + 28 |
|
After |
0.9 u |
1.4 u + 98 |
2.3 u + 98 |
10% x 1 u =
10100 x 1 u = 0.1 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 70 =
40100 x 70 = 28
Number of tickets sold on Saturday
= 0.9 u + 1.4 u + 98
= 2.3 u + 98
2.3 u + 98 = 328
2.3 u = 328 - 98
2.3 u = 230
1 u = 230 ÷ 2.3 = 100
Amount collected from adult tickets on Friday
= 1 u x 34
= 100 x 34
= $3400
Amount collected from child tickets on Friday
= 16(1 u + 70)
= 16(100 + 70)
= 16 x 170
= $2720
Total amount collected on Friday
= 3400 + 2720
= $6120
Answer(s):$6120