Two hours ago, a fruit seller started his day with some pears and passion fruits in the ratio of 5 : 4. There were 120 passion fruits. Some of the pears were bought by Abi. As a result, the number of pears became
25 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 |
5x5 = 25 u |
4x5 = 20 u |
Change |
- ? |
|
After |
2x4 = 8 u |
5x4 = 20 u |
(a)
The number of passion fruits remains unchanged. Make the number of passion fruits the same. LCM of 4 and 5 is 20.
20 u = 120
1 u = 120 ÷ 20 = 6
Number of pears that the fruit seller had at first
= 25 u
= 25 x 6
= 150
(b)
Number of passion fruits that the fruit seller had to sell to have an equal number of pears and passion fruits
= 20 u - 8 u
= 12 u
= 12 x 6
= 72
Answer(s): (a) 150; (b) 72