The ratio of the number of lemons to the number of plums that a fruit seller had was 3 : 10. After he sold one third of the plums, there were a total of 290 lemons and plums left at the market.
- How many lemons were there at the market?
- If he sold the remaining plums in bags of 5 at $6.10 per bag, how much would he receive for them?
(a)
|
Lemons |
Plums |
Total |
Before |
3x3 = 9 u
|
10x3 = 30 u |
|
Change |
|
- 10 u |
|
After |
9 u |
20 u |
290 |
The total number of plums at first is the repeated identity.
LCM of 10 and 3 = 30
9 u + 20 u = 29 u
29 u = 290
1 u = 290 ÷ 29 = 10
Number of lemons in the stall
= 9 u
= 9 x 10
= 90
(b)
Number of plums left
= 20 u
= 20 x 10
= 200
Number of bags
= 200 ÷ 5
= 40
Amount that he would receive
= 40 x 6.10
= $244
Answer(s): (a) 90; (b) $244