The table shows the prices of tickets for a ballet 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 $198 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 |
21 |
6 |
|
|
Total value |
21 u |
24 u |
3 u |
45 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
= 24 u - 21 u
= 3 u
3 u = 198
1 u = 198 ÷ 3 = 66
Number of child tickets sold
= 4 u
= 4 x 66
= 264
(b)
Total amount collected from the sale of all the tickets
= 21 u + 24 u
= 45 u
= 45 x 66
= $2970
Answer(s): (a) 264; (b) $2970