The table shows the prices of tickets for a ballet performance 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 $138 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 |
25 |
9 |
|
|
Total value |
25 u |
27 u |
2 u |
52 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
= 27 u - 25 u
= 2 u
2 u = 138
1 u = 138 ÷ 2 = 69
Number of child tickets sold
= 3 u
= 3 x 69
= 207
(b)
Total amount collected from the sale of all the tickets
= 25 u + 27 u
= 52 u
= 52 x 69
= $3588
Answer(s): (a) 207; (b) $3588