The table shows the prices of tickets for a drama 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 $660 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 |
20 |
8 |
|
|
Total value |
20 u |
32 u |
12 u |
52 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 - 20 u
= 12 u
12 u = 660
1 u = 660 ÷ 12 = 55
Number of child tickets sold
= 4 u
= 4 x 55
= 220
(b)
Total amount collected from the sale of all the tickets
= 20 u + 32 u
= 52 u
= 52 x 55
= $2860
Answer(s): (a) 220; (b) $2860