Two hours ago, a grocer started his day with some passion fruits and persimmons in the ratio of 8 : 7. There were 315 persimmons. Some of the passion fruits were bought by Abi. As a result, the number of passion fruits became
35 of the persimmons.
- How many passion fruits did the grocer have left?
- How many passion fruits did the grocer have to buy in order to have an equal number of passion fruits and persimmons?
|
Passion Fruits |
Persimmons |
Before |
8x5 = 40 u |
7x5 = 35 u |
Change |
- ? |
|
After |
3x7 = 21 u |
5x7 = 35 u |
(a)
The number of persimmons remains unchanged. Make the number of persimmons the same. LCM of 7 and 5 is 35.
35 u = 315
1 u = 315 ÷ 35 = 9
Number of passion fruits that the grocer had left
= 21 u
= 21 x 9
= 189
(b)
Number of passion fruits that the grocer had to buy to have an equal number of passion fruits and persimmons
= 35 u - 21 u
= 14 u
= 14 x 9
= 126
Answer(s): (a) 189; (b) 126