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 $219 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 |
21 |
8 |
|
|
Total value |
21 u |
24 u |
3 u |
45 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
= 24 u - 21 u
= 3 u
3 u = 219
1 u = 219 ÷ 3 = 73
Number of child tickets sold
= 3 u
= 3 x 73
= 219
(b)
Total amount collected from the sale of all the tickets
= 21 u + 24 u
= 45 u
= 45 x 73
= $3285
Answer(s): (a) 219; (b) $3285