Tickets to a concert hall were sold to senior citizens, adults and children at different prices as shown.
|
Price |
Senior citizen ticket |
$5 |
Child ticket |
$9 |
Adult ticket |
$14 |
110 of the tickets sold were bought by senior citizens and
35 of them were bought by adults. The rest were bought by children.
- What fraction of the tickets sold were bought by children?
- A total amount of $2784 was collected from the sale of the tickets. How many children bought the tickets?
(a)
Fraction of tickets bought by the children
= 1 -
110 -
35 = 1 -
110 -
610 =
310 (b)
|
Senior Citizens |
Children |
Adults |
Number |
1 u |
3 u |
6 u |
Value |
5 |
9 |
14 |
Total value |
5 u |
27 u |
84 u |
Total amount collected
= 5 u + 27 u + 84 u
= 116 u
116 u = 2784
1 u = 2784 ÷ 116 = 24
Number of children who bought the tickets
= 3 u
= 3 x 24
= 72
Answer(s): (a)
310; (b) 72