The table shows the prices of tickets for a drama 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 $480 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 |
$34 |
Child |
$10 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
4 u |
|
|
Value |
34 |
10 |
|
|
Total value |
34 u |
40 u |
6 u |
74 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
= 40 u - 34 u
= 6 u
6 u = 480
1 u = 480 ÷ 6 = 80
Number of child tickets sold
= 4 u
= 4 x 80
= 320
(b)
Total amount collected from the sale of all the tickets
= 34 u + 40 u
= 74 u
= 74 x 80
= $5920
Answer(s): (a) 320; (b) $5920