At a museum, each adult ticket cost $26 and each child ticket cost $5. On Friday, the number of adult tickets sold was 190 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 30%. If a total of 637 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 190 |
2 u + 190 |
Change |
- 0.35 u |
+ 0.3 u + 57 |
|
After |
0.65 u |
1.3 u + 247 |
1.95 u + 247 |
35% x 1 u =
35100 x 1 u = 0.35 u
30% x 1 u =
30100 x 1 u = 0.3 u
30% x 190 =
30100 x 190 = 57
Number of tickets sold on Saturday
= 0.65 u + 1.3 u + 247
= 1.95 u + 247
1.95 u + 247 = 637
1.95 u = 637 - 247
1.95 u = 390
1 u = 390 ÷ 1.95 = 200
Amount collected from adult tickets on Friday
= 1 u x 26
= 200 x 26
= $5200
Amount collected from child tickets on Friday
= 5(1 u + 190)
= 5(200 + 190)
= 5 x 390
= $1950
Total amount collected on Friday
= 5200 + 1950
= $7150
Answer(s):$7150