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 $1170 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 |
$29 |
Child |
$11 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
4 u |
|
|
Value |
29 |
11 |
|
|
Total value |
29 u |
44 u |
15 u |
73 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 - 29 u
= 15 u
15 u = 1170
1 u = 1170 ÷ 15 = 78
Number of child tickets sold
= 4 u
= 4 x 78
= 312
(b)
Total amount collected from the sale of all the tickets
= 29 u + 44 u
= 73 u
= 73 x 78
= $5694
Answer(s): (a) 312; (b) $5694