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 $1261 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?
|
Price |
Adult |
$27 |
Child |
$10 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
4 u |
|
|
Value |
27 |
10 |
|
|
Total value |
27 u |
40 u |
13 u |
67 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
= 40 u - 27 u
= 13 u
13 u = 1261
1 u = 1261 ÷ 13 = 97
Number of child tickets sold
= 4 u
= 4 x 97
= 388
(b)
Total amount collected from the sale of all the tickets
= 27 u + 40 u
= 67 u
= 67 x 97
= $6499
Answer(s): (a) 388; (b) $6499