The table shows the prices of tickets for a ballet performance for an adult ticket and a child ticket.
15 of the tickets sold were for adults. The total amount of money collected from sale of the child tickets was $979 more than the total amount collected from the sale of adult tickets.
- How many child tickets were sold?
- How much money was collected from the sale of all the tickets?
|
Adults |
Children |
More |
Total |
Number |
1 u |
4 u |
|
|
Value |
21 |
8 |
|
|
Total value |
21 u |
32 u |
11 u |
53 u |
Fraction of tickets sold to children
= 1 -
15=
45Amount collected more from the sale of the child tickets than the sale of adult tickets
= 32 u - 21 u
= 11 u
11 u = 979
1 u = 979 ÷ 11 = 89
Number of child tickets sold
= 4 u
= 4 x 89
= 356
(b)
Total amount collected from the sale of all the tickets
= 21 u + 32 u
= 53 u
= 53 x 89
= $4717
Answer(s): (a) 356; (b) $4717