The table shows the prices of tickets for a dance 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 $280 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 |
24 |
7 |
|
|
Total value |
24 u |
28 u |
4 u |
52 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
= 28 u - 24 u
= 4 u
4 u = 280
1 u = 280 ÷ 4 = 70
Number of child tickets sold
= 4 u
= 4 x 70
= 280
(b)
Total amount collected from the sale of all the tickets
= 24 u + 28 u
= 52 u
= 52 x 70
= $3640
Answer(s): (a) 280; (b) $3640