The table shows the prices of tickets for a concert 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 $649 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 |
$37 |
Child |
$12 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
4 u |
|
|
Value |
37 |
12 |
|
|
Total value |
37 u |
48 u |
11 u |
85 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 - 37 u
= 11 u
11 u = 649
1 u = 649 ÷ 11 = 59
Number of child tickets sold
= 4 u
= 4 x 59
= 236
(b)
Total amount collected from the sale of all the tickets
= 37 u + 48 u
= 85 u
= 85 x 59
= $5015
Answer(s): (a) 236; (b) $5015