The table shows the prices of tickets for a concert 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 $1022 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 |
9 |
|
|
Total value |
22 u |
36 u |
14 u |
58 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
= 36 u - 22 u
= 14 u
14 u = 1022
1 u = 1022 ÷ 14 = 73
Number of child tickets sold
= 4 u
= 4 x 73
= 292
(b)
Total amount collected from the sale of all the tickets
= 22 u + 36 u
= 58 u
= 58 x 73
= $4234
Answer(s): (a) 292; (b) $4234