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 $1534 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 |
$22 |
Child |
$12 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
4 u |
|
|
Value |
22 |
12 |
|
|
Total value |
22 u |
48 u |
26 u |
70 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
= 48 u - 22 u
= 26 u
26 u = 1534
1 u = 1534 ÷ 26 = 59
Number of child tickets sold
= 4 u
= 4 x 59
= 236
(b)
Total amount collected from the sale of all the tickets
= 22 u + 48 u
= 70 u
= 70 x 59
= $4130
Answer(s): (a) 236; (b) $4130