The table shows the prices of tickets for a concert for an adult ticket and a child ticket.
14 of the tickets sold were for adults. The total amount of money collected from sale of the child tickets was $552 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?
|
Price |
Adult |
$22 |
Child |
$10 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
3 u |
|
|
Value |
22 |
10 |
|
|
Total value |
22 u |
30 u |
8 u |
52 u |
Fraction of tickets sold to children
= 1 -
14=
34Amount collected more from the sale of the child tickets than the sale of adult tickets
= 30 u - 22 u
= 8 u
8 u = 552
1 u = 552 ÷ 8 = 69
Number of child tickets sold
= 3 u
= 3 x 69
= 207
(b)
Total amount collected from the sale of all the tickets
= 22 u + 30 u
= 52 u
= 52 x 69
= $3588
Answer(s): (a) 207; (b) $3588