Six hours ago, a store owner started his day with some passion fruits and persimmons in the ratio of 5 : 2. There were 80 persimmons. Some of the passion fruits were bought by Emily. As a result, the number of passion fruits became
25 of the persimmons.
- How many passion fruits did the store owner have left?
- How many passion fruits did the store owner have to buy in order to have an equal number of passion fruits and persimmons?
|
Passion Fruits |
Persimmons |
Before |
5x5 = 25 u |
2x5 = 10 u |
Change |
- ? |
|
After |
2x2 = 4 u |
5x2 = 10 u |
(a)
The number of persimmons remains unchanged. Make the number of persimmons the same. LCM of 2 and 5 is 10.
10 u = 80
1 u = 80 ÷ 10 = 8
Number of passion fruits that the store owner had left
= 4 u
= 4 x 8
= 32
(b)
Number of passion fruits that the store owner had to buy to have an equal number of passion fruits and persimmons
= 10 u - 4 u
= 6 u
= 6 x 8
= 48
Answer(s): (a) 32; (b) 48