Three hours ago, a fruit seller started his day with some mangosteens and passion fruits in the ratio of 7 : 2. There were 60 passion fruits. Some of the mangosteens were bought by Min. As a result, the number of mangosteens became
35 of the passion fruits.
- How many mangosteens did the fruit seller have at first?
- How many passion fruits did the fruit seller have to sell in order to have an equal number of mangosteens and passion fruits?
|
Mangosteens |
Passion Fruits |
Before |
7x5 = 35 u |
2x5 = 10 u |
Change |
- ? |
|
After |
3x2 = 6 u |
5x2 = 10 u |
(a)
The number of passion fruits remains unchanged. Make the number of passion fruits the same. LCM of 2 and 5 is 10.
10 u = 60
1 u = 60 ÷ 10 = 6
Number of mangosteens that the fruit seller had at first
= 35 u
= 35 x 6
= 210
(b)
Number of passion fruits that the fruit seller had to sell to have an equal number of mangosteens and passion fruits
= 10 u - 6 u
= 4 u
= 4 x 6
= 24
Answer(s): (a) 210; (b) 24