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 $328 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 |
3 u |
|
|
Value |
23 |
9 |
|
|
Total value |
23 u |
27 u |
4 u |
50 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
= 27 u - 23 u
= 4 u
4 u = 328
1 u = 328 ÷ 4 = 82
Number of child tickets sold
= 3 u
= 3 x 82
= 246
(b)
Total amount collected from the sale of all the tickets
= 23 u + 27 u
= 50 u
= 50 x 82
= $4100
Answer(s): (a) 246; (b) $4100