Six hours ago, a fruit seller started his day with some mangoes and starfruits in the ratio of 5 : 4. There were 40 starfruits. Some of the mangoes were bought by Yen. As a result, the number of mangoes became
35 of the starfruits.
- How many mangoes did the fruit seller have left?
- How many mangoes did the fruit seller have to buy in order to have an equal number of mangoes and starfruits?
|
Mangoes |
Starfruits |
Before |
5x5 = 25 u |
4x5 = 20 u |
Change |
- ? |
|
After |
3x4 = 12 u |
5x4 = 20 u |
(a)
The number of starfruits remains unchanged. Make the number of starfruits the same. LCM of 4 and 5 is 20.
20 u = 40
1 u = 40 ÷ 20 = 2
Number of mangoes that the fruit seller had left
= 12 u
= 12 x 2
= 24
(b)
Number of mangoes that the fruit seller had to buy to have an equal number of mangoes and starfruits
= 20 u - 12 u
= 8 u
= 8 x 2
= 16
Answer(s): (a) 24; (b) 16