Seven hours ago, a grocer started his day with some passion fruits and pomegranates in the ratio of 8 : 7. There were 210 pomegranates. Some of the passion fruits were bought by Fiona. As a result, the number of passion fruits became
45 of the pomegranates.
- How many passion fruits did the grocer have at first?
- How many pomegranates did the grocer have to sell in order to have an equal number of passion fruits and pomegranates?
|
Passion Fruits |
Pomegranates |
Before |
8x5 = 40 u |
7x5 = 35 u |
Change |
- ? |
|
After |
4x7 = 28 u |
5x7 = 35 u |
(a)
The number of pomegranates remains unchanged. Make the number of pomegranates the same. LCM of 7 and 5 is 35.
35 u = 210
1 u = 210 ÷ 35 = 6
Number of passion fruits that the grocer had at first
= 40 u
= 40 x 6
= 240
(b)
Number of pomegranates that the grocer had to sell to have an equal number of passion fruits and pomegranates
= 35 u - 28 u
= 7 u
= 7 x 6
= 42
Answer(s): (a) 240; (b) 42