At a tourist attraction, each adult ticket cost $27 and each child ticket cost $5. On Thursday, the number of adult tickets sold was 185 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 40%. If a total of 1179 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 185 |
2 u + 185 |
Change |
- 0.1 u |
+ 0.4 u + 74 |
|
After |
0.9 u |
1.4 u + 259 |
2.3 u + 259 |
10% x 1 u =
10100 x 1 u = 0.1 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 185 =
40100 x 185 = 74
Number of tickets sold on Friday
= 0.9 u + 1.4 u + 259
= 2.3 u + 259
2.3 u + 259 = 1179
2.3 u = 1179 - 259
2.3 u = 920
1 u = 920 ÷ 2.3 = 400
Amount collected from adult tickets on Thursday
= 1 u x 27
= 400 x 27
= $10800
Amount collected from child tickets on Thursday
= 5(1 u + 185)
= 5(400 + 185)
= 5 x 585
= $2925
Total amount collected on Thursday
= 10800 + 2925
= $13725
Answer(s):$13725