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 $672 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 |
$32 |
Child |
$11 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
4 u |
|
|
Value |
32 |
11 |
|
|
Total value |
32 u |
44 u |
12 u |
76 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
= 44 u - 32 u
= 12 u
12 u = 672
1 u = 672 ÷ 12 = 56
Number of child tickets sold
= 4 u
= 4 x 56
= 224
(b)
Total amount collected from the sale of all the tickets
= 32 u + 44 u
= 76 u
= 76 x 56
= $4256
Answer(s): (a) 224; (b) $4256