On Monday, 120 more women than men attended a concert. On Tuesday, the number of women decreased by 10% and the number of men increased by 60%. 1158 audience attended the concert on Tuesday. If each ticket cost $13, how much money was collected from the sale of concert tickets for the two days?
|
Women |
Men |
Comparing between the women and the men at first |
120 more |
|
Before |
10x1 |
+ 120 |
5x2 |
Change |
- 1x1 |
- 12 |
+ 3x2 |
After |
9x1 |
+ 108 |
8x2 |
|
Women |
Men |
Before |
10 u + 120 |
10 u |
Change |
- 1 u - 12 |
+ 6 u |
After |
9 u + 108 |
16 u |
10% =
10100 =
110 60% =
60100 =
35 10% x 120
=
10100 x 120
= 12
120 - 12 = 108
Total number of tickets sold on Tuesday
= 9 u + 108 + 16 u
= 25 u + 108
25 u + 108 = 1158
25 u = 1158 - 108
25 u = 1050
1 u = 1050 ÷ 25 = 42
Total number of tickets sold for the two days
= (10 u + 120) + 10 u + (9 u + 108) + 16 u
= 45 u + 228
= 45 x 42 + 228
= 2118
Amount collected from the sale of concert tickets for the two days
= 2118 x 13
= $27534
Answer(s): $27534