The table shows the prices of tickets for a drama 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 $595 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 |
$23 |
Child |
$10 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
3 u |
|
|
Value |
23 |
10 |
|
|
Total value |
23 u |
30 u |
7 u |
53 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 - 23 u
= 7 u
7 u = 595
1 u = 595 ÷ 7 = 85
Number of child tickets sold
= 3 u
= 3 x 85
= 255
(b)
Total amount collected from the sale of all the tickets
= 23 u + 30 u
= 53 u
= 53 x 85
= $4505
Answer(s): (a) 255; (b) $4505