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 $110 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 |
30 |
8 |
|
|
Total value |
30 u |
32 u |
2 u |
62 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 - 30 u
= 2 u
2 u = 110
1 u = 110 ÷ 2 = 55
Number of child tickets sold
= 4 u
= 4 x 55
= 220
(b)
Total amount collected from the sale of all the tickets
= 30 u + 32 u
= 62 u
= 62 x 55
= $3410
Answer(s): (a) 220; (b) $3410