The table shows the prices of tickets for a drama 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 $455 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 |
7 |
|
|
Total value |
21 u |
28 u |
7 u |
49 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 - 21 u
= 7 u
7 u = 455
1 u = 455 ÷ 7 = 65
Number of child tickets sold
= 4 u
= 4 x 65
= 260
(b)
Total amount collected from the sale of all the tickets
= 21 u + 28 u
= 49 u
= 49 x 65
= $3185
Answer(s): (a) 260; (b) $3185