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 $486 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 |
30 |
9 |
|
|
Total value |
30 u |
36 u |
6 u |
66 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 - 30 u
= 6 u
6 u = 486
1 u = 486 ÷ 6 = 81
Number of child tickets sold
= 4 u
= 4 x 81
= 324
(b)
Total amount collected from the sale of all the tickets
= 30 u + 36 u
= 66 u
= 66 x 81
= $5346
Answer(s): (a) 324; (b) $5346