Tickets to a museum were sold to senior citizens, adults and children at different prices as shown.
|
Price |
Senior citizen ticket |
$4 |
Child ticket |
$6 |
Adult ticket |
$14 |
19 of the tickets sold were bought by senior citizens and
15 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 $12284 was collected from the sale of the tickets. How many children bought the tickets?
(a)
Fraction of tickets bought by the children
= 1 -
19 -
15 = 1 -
545 -
945 =
3145 (b)
|
Senior Citizens |
Children |
Adults |
Number |
5 u |
31 u |
9 u |
Value |
4 |
6 |
14 |
Total value |
20 u |
186 u |
126 u |
Total amount collected
= 20 u + 186 u + 126 u
= 332 u
332 u = 12284
1 u = 12284 ÷ 332 = 37
Number of children who bought the tickets
= 31 u
= 31 x 37
= 1147
Answer(s): (a)
3145; (b) 1147