Eight hours ago, a fruit seller started his day with some passion fruits and persimmons in the ratio of 8 : 5. There were 180 persimmons. Some of the passion fruits were bought by Shiyun. As a result, the number of passion fruits became
56 of the persimmons.
- How many passion fruits did the fruit seller have left?
- How many passion fruits did the fruit seller have to buy in order to have an equal number of passion fruits and persimmons?
|
Passion Fruits |
Persimmons |
Before |
8x6 = 48 u |
5x6 = 30 u |
Change |
- ? |
|
After |
5x5 = 25 u |
6x5 = 30 u |
(a)
The number of persimmons remains unchanged. Make the number of persimmons the same. LCM of 5 and 6 is 30.
30 u = 180
1 u = 180 ÷ 30 = 6
Number of passion fruits that the fruit seller had left
= 25 u
= 25 x 6
= 150
(b)
Number of passion fruits that the fruit seller had to buy to have an equal number of passion fruits and persimmons
= 30 u - 25 u
= 5 u
= 5 x 6
= 30
Answer(s): (a) 150; (b) 30