The table shows the prices of tickets for a concert 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 $495 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 |
$31 |
Child |
$12 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
3 u |
|
|
Value |
31 |
12 |
|
|
Total value |
31 u |
36 u |
5 u |
67 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
= 36 u - 31 u
= 5 u
5 u = 495
1 u = 495 ÷ 5 = 99
Number of child tickets sold
= 3 u
= 3 x 99
= 297
(b)
Total amount collected from the sale of all the tickets
= 31 u + 36 u
= 67 u
= 67 x 99
= $6633
Answer(s): (a) 297; (b) $6633