Two hours ago, a grocer started his day with some persimmons and passion fruits in the ratio of 5 : 2. There were 90 passion fruits. Some of the persimmons were bought by Shannon. As a result, the number of persimmons became
25 of the passion fruits.
- How many persimmons did the grocer have at first?
- How many passion fruits did the grocer have to sell in order to have an equal number of persimmons and passion fruits?
|
Persimmons |
Passion Fruits |
Before |
5x5 = 25 u |
2x5 = 10 u |
Change |
- ? |
|
After |
2x2 = 4 u |
5x2 = 10 u |
(a)
The number of passion fruits remains unchanged. Make the number of passion fruits the same. LCM of 2 and 5 is 10.
10 u = 90
1 u = 90 ÷ 10 = 9
Number of persimmons that the grocer had at first
= 25 u
= 25 x 9
= 225
(b)
Number of passion fruits that the grocer had to sell to have an equal number of persimmons and passion fruits
= 10 u - 4 u
= 6 u
= 6 x 9
= 54
Answer(s): (a) 225; (b) 54