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 $825 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 |
25 |
9 |
|
|
Total value |
25 u |
36 u |
11 u |
61 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
= 36 u - 25 u
= 11 u
11 u = 825
1 u = 825 ÷ 11 = 75
Number of child tickets sold
= 4 u
= 4 x 75
= 300
(b)
Total amount collected from the sale of all the tickets
= 25 u + 36 u
= 61 u
= 61 x 75
= $4575
Answer(s): (a) 300; (b) $4575