The ratio of the number of grapefruits to the number of plums that a fruit seller had was 2 : 5. After he sold one fifth of the plums, there were a total of 240 grapefruits and plums left at the stall.
- How many grapefruits were there at the stall?
- If he sold the remaining plums in bags of 4 at $6.70 per bag, how much would he receive for them?
(a)
|
Grapefruits |
Plums |
Total |
Before |
2x5 = 10 u
|
5x5 = 25 u |
|
Change |
|
- 5 u |
|
After |
10 u |
20 u |
240 |
The total number of plums at first is the repeated identity.
LCM of 5 and 5 = 25
10 u + 20 u = 30 u
30 u = 240
1 u = 240 ÷ 30 = 8
Number of grapefruits in the stall
= 10 u
= 10 x 8
= 80
(b)
Number of plums left
= 20 u
= 20 x 8
= 160
Number of bags
= 160 ÷ 4
= 40
Amount that he would receive
= 40 x 6.70
= $268
Answer(s): (a) 80; (b) $268