The ratio of the number of plums to the number of guavas that a fruit seller had was 4 : 9. After he sold one fifth of the guavas, there were a total of 280 plums and guavas left at the shop.
- How many plums were there at the shop?
- If he sold the remaining guavas in bags of 6 at $5.60 per bag, how much would he receive for them?
(a)
|
Plums |
Guavas |
Total |
Before |
4x5 = 20 u
|
9x5 = 45 u |
|
Change |
|
- 9 u |
|
After |
20 u |
36 u |
280 |
The total number of guavas at first is the repeated identity.
LCM of 9 and 5 = 45
20 u + 36 u = 56 u
56 u = 280
1 u = 280 ÷ 56 = 5
Number of plums in the stall
= 20 u
= 20 x 5
= 100
(b)
Number of guavas left
= 36 u
= 36 x 5
= 180
Number of bags
= 180 ÷ 6
= 30
Amount that he would receive
= 30 x 5.60
= $168
Answer(s): (a) 100; (b) $168