Three hours ago, a grocer started his day with some pomegranates and starfruits in the ratio of 8 : 7. There were 126 starfruits. Some of the pomegranates were bought by Raeann. As a result, the number of pomegranates became
56 of the starfruits.
- How many pomegranates did the grocer have left?
- How many pomegranates did the grocer have to buy in order to have an equal number of pomegranates and starfruits?
|
Pomegranates |
Starfruits |
Before |
8x6 = 48 u |
7x6 = 42 u |
Change |
- ? |
|
After |
5x7 = 35 u |
6x7 = 42 u |
(a)
The number of starfruits remains unchanged. Make the number of starfruits the same. LCM of 7 and 6 is 42.
42 u = 126
1 u = 126 ÷ 42 = 3
Number of pomegranates that the grocer had left
= 35 u
= 35 x 3
= 105
(b)
Number of pomegranates that the grocer had to buy to have an equal number of pomegranates and starfruits
= 42 u - 35 u
= 7 u
= 7 x 3
= 21
Answer(s): (a) 105; (b) 21