The table shows the prices of tickets for a dance 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 $324 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 |
22 |
7 |
|
|
Total value |
22 u |
28 u |
6 u |
50 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
= 28 u - 22 u
= 6 u
6 u = 324
1 u = 324 ÷ 6 = 54
Number of child tickets sold
= 4 u
= 4 x 54
= 216
(b)
Total amount collected from the sale of all the tickets
= 22 u + 28 u
= 50 u
= 50 x 54
= $2700
Answer(s): (a) 216; (b) $2700