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 $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?
|
Adults |
Children |
More |
Total |
Number |
1 u |
4 u |
|
|
Value |
27 |
8 |
|
|
Total value |
27 u |
32 u |
5 u |
59 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
= 32 u - 27 u
= 5 u
5 u = 495
1 u = 495 ÷ 5 = 99
Number of child tickets sold
= 4 u
= 4 x 99
= 396
(b)
Total amount collected from the sale of all the tickets
= 27 u + 32 u
= 59 u
= 59 x 99
= $5841
Answer(s): (a) 396; (b) $5841