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 $1638 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 |
$12 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
4 u |
|
|
Value |
27 |
12 |
|
|
Total value |
27 u |
48 u |
21 u |
75 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
= 48 u - 27 u
= 21 u
21 u = 1638
1 u = 1638 ÷ 21 = 78
Number of child tickets sold
= 4 u
= 4 x 78
= 312
(b)
Total amount collected from the sale of all the tickets
= 27 u + 48 u
= 75 u
= 75 x 78
= $5850
Answer(s): (a) 312; (b) $5850