Two hours ago, a store owner started his day with some pears and passion fruits in the ratio of 7 : 4. There were 180 passion fruits. Some of the pears were bought by Jean. As a result, the number of pears became
35 of the passion fruits.
- How many pears did the store owner have left?
- How many pears did the store owner have to buy in order to have an equal number of pears and passion fruits?
|
Pears |
Passion Fruits |
Before |
7x5 = 35 u |
4x5 = 20 u |
Change |
- ? |
|
After |
3x4 = 12 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 = 180
1 u = 180 ÷ 20 = 9
Number of pears that the store owner had left
= 12 u
= 12 x 9
= 108
(b)
Number of pears that the store owner had to buy to have an equal number of pears and passion fruits
= 20 u - 12 u
= 8 u
= 8 x 9
= 72
Answer(s): (a) 108; (b) 72