At a museum, each adult ticket cost $39 and each child ticket cost $5. On Thursday, the number of adult tickets sold was 135 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 40%. If a total of 1164 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 135 |
2 u + 135 |
Change |
- 0.45 u |
+ 0.4 u + 54 |
|
After |
0.55 u |
1.4 u + 189 |
1.95 u + 189 |
45% x 1 u =
45100 x 1 u = 0.45 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 135 =
40100 x 135 = 54
Number of tickets sold on Friday
= 0.55 u + 1.4 u + 189
= 1.95 u + 189
1.95 u + 189 = 1164
1.95 u = 1164 - 189
1.95 u = 975
1 u = 975 ÷ 1.95 = 500
Amount collected from adult tickets on Thursday
= 1 u x 39
= 500 x 39
= $19500
Amount collected from child tickets on Thursday
= 5(1 u + 135)
= 5(500 + 135)
= 5 x 635
= $3175
Total amount collected on Thursday
= 19500 + 3175
= $22675
Answer(s):$22675