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 $880 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 |
$24 |
Child |
$10 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
4 u |
|
|
Value |
24 |
10 |
|
|
Total value |
24 u |
40 u |
16 u |
64 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 - 24 u
= 16 u
16 u = 880
1 u = 880 ÷ 16 = 55
Number of child tickets sold
= 4 u
= 4 x 55
= 220
(b)
Total amount collected from the sale of all the tickets
= 24 u + 40 u
= 64 u
= 64 x 55
= $3520
Answer(s): (a) 220; (b) $3520