The ratio of the number of dragon fruits to the number of kiwis that a fruit seller had was 2 : 5. After he sold one fifth of the kiwis, there were a total of 180 dragon fruits and kiwis left at the mart.
- How many dragon fruits were there at the mart?
- If he sold the remaining kiwis in bags of 8 at $4.40 per bag, how much would he receive for them?
(a)
|
Dragon Fruits |
Kiwis |
Total |
Before |
2x5 = 10 u
|
5x5 = 25 u |
|
Change |
|
- 5 u |
|
After |
10 u |
20 u |
180 |
The total number of kiwis at first is the repeated identity.
LCM of 5 and 5 = 25
10 u + 20 u = 30 u
30 u = 180
1 u = 180 ÷ 30 = 6
Number of dragon fruits in the stall
= 10 u
= 10 x 6
= 60
(b)
Number of kiwis left
= 20 u
= 20 x 6
= 120
Number of bags
= 120 ÷ 8
= 15
Amount that he would receive
= 15 x 4.40
= $66
Answer(s): (a) 60; (b) $66