Eight hours ago, a fruit seller started his day with some pears and passion fruits in the ratio of 5 : 3. There were 24 passion fruits. Some of the pears were bought by Jean. As a result, the number of pears became
34 of the passion fruits.
- How many pears 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 pears and passion fruits?
|
Pears |
Passion Fruits |
Before |
5x4 = 20 u |
3x4 = 12 u |
Change |
- ? |
|
After |
3x3 = 9 u |
4x3 = 12 u |
(a)
The number of passion fruits remains unchanged. Make the number of passion fruits the same. LCM of 3 and 4 is 12.
12 u = 24
1 u = 24 ÷ 12 = 2
Number of pears that the fruit seller had at first
= 20 u
= 20 x 2
= 40
(b)
Number of passion fruits that the fruit seller had to sell to have an equal number of pears and passion fruits
= 12 u - 9 u
= 3 u
= 3 x 2
= 6
Answer(s): (a) 40; (b) 6