The ratio of the number of coconuts to the number of lemons that a fruit seller had was 4 : 9. After he sold one fifth of the lemons, there were a total of 840 coconuts and lemons left at the stall.
- How many coconuts were there at the stall?
- If he sold the remaining lemons in bags of 4 at $5.80 per bag, how much would he receive for them?
(a)
|
Coconuts |
Lemons |
Total |
Before |
4x5 = 20 u
|
9x5 = 45 u |
|
Change |
|
- 9 u |
|
After |
20 u |
36 u |
840 |
The total number of lemons at first is the repeated identity.
LCM of 9 and 5 = 45
20 u + 36 u = 56 u
56 u = 840
1 u = 840 ÷ 56 = 15
Number of coconuts in the stall
= 20 u
= 20 x 15
= 300
(b)
Number of lemons left
= 36 u
= 36 x 15
= 540
Number of bags
= 540 ÷ 4
= 135
Amount that he would receive
= 135 x 5.80
= $783
Answer(s): (a) 300; (b) $783