At a zoo, each adult ticket cost $26 and each child ticket cost $11. On Monday, the number of adult tickets sold was 90 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 40% while the number of child tickets sold increased by 10%. If a total of 1289 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 90 |
2 u + 90 |
Change |
- 0.4 u |
+ 0.1 u + 9 |
|
After |
0.6 u |
1.1 u + 99 |
1.7 u + 99 |
40% x 1 u =
40100 x 1 u = 0.4 u
10% x 1 u =
10100 x 1 u = 0.1 u
10% x 90 =
10100 x 90 = 9
Number of tickets sold on Tuesday
= 0.6 u + 1.1 u + 99
= 1.7 u + 99
1.7 u + 99 = 1289
1.7 u = 1289 - 99
1.7 u = 1190
1 u = 1190 ÷ 1.7 = 700
Amount collected from adult tickets on Monday
= 1 u x 26
= 700 x 26
= $18200
Amount collected from child tickets on Monday
= 11(1 u + 90)
= 11(700 + 90)
= 11 x 790
= $8690
Total amount collected on Monday
= 18200 + 8690
= $26890
Answer(s):$26890