The table shows the prices of tickets for a concert 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 $1440 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 |
$20 |
Child |
$10 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
4 u |
|
|
Value |
20 |
10 |
|
|
Total value |
20 u |
40 u |
20 u |
60 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 - 20 u
= 20 u
20 u = 1440
1 u = 1440 ÷ 20 = 72
Number of child tickets sold
= 4 u
= 4 x 72
= 288
(b)
Total amount collected from the sale of all the tickets
= 20 u + 40 u
= 60 u
= 60 x 72
= $4320
Answer(s): (a) 288; (b) $4320