Six hours ago, a stallholder started his day with some passion fruits and persimmons in the ratio of 5 : 4. There were 120 persimmons. Some of the passion fruits were bought by Lucy. As a result, the number of passion fruits became
25 of the persimmons.
- How many passion fruits did the stallholder have left?
- How many passion fruits did the stallholder have to buy in order to have an equal number of passion fruits and persimmons?
|
Passion Fruits |
Persimmons |
Before |
5x5 = 25 u |
4x5 = 20 u |
Change |
- ? |
|
After |
2x4 = 8 u |
5x4 = 20 u |
(a)
The number of persimmons remains unchanged. Make the number of persimmons the same. LCM of 4 and 5 is 20.
20 u = 120
1 u = 120 ÷ 20 = 6
Number of passion fruits that the stallholder had left
= 8 u
= 8 x 6
= 48
(b)
Number of passion fruits that the stallholder had to buy to have an equal number of passion fruits and persimmons
= 20 u - 8 u
= 12 u
= 12 x 6
= 72
Answer(s): (a) 48; (b) 72