The table shows the prices of tickets for a dance performance 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 $392 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 |
$29 |
| Child |
$11 |
| |
Adults |
Children |
More |
Total |
| Number |
1 u |
3 u |
|
|
| Value |
29 |
11 |
|
|
| Total value |
29 u |
33 u |
4 u |
62 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
= 33 u - 29 u
= 4 u
4 u = 392
1 u = 392 ÷ 4 = 98
Number of child tickets sold
= 3 u
= 3 x 98
= 294
(b)
Total amount collected from the sale of all the tickets
= 29 u + 33 u
= 62 u
= 62 x 98
= $6076
Answer(s): (a) 294; (b) $6076
