Four hours ago, a grocer started his day with some chikoos and starfruits in the ratio of 5 : 4. There were 108 starfruits. Some of the chikoos were bought by Jean. As a result, the number of chikoos became
56 of the starfruits.
- How many chikoos did the grocer have at first?
- How many starfruits did the grocer have to sell in order to have an equal number of chikoos and starfruits?
|
Chikoos |
Starfruits |
Before |
5x3 = 15 u |
4x3 = 12 u |
Change |
- ? |
|
After |
5x2 = 10 u |
6x2 = 12 u |
(a)
The number of starfruits remains unchanged. Make the number of starfruits the same. LCM of 4 and 6 is 12.
12 u = 108
1 u = 108 ÷ 12 = 9
Number of chikoos that the grocer had at first
= 15 u
= 15 x 9
= 135
(b)
Number of starfruits that the grocer had to sell to have an equal number of chikoos and starfruits
= 12 u - 10 u
= 2 u
= 2 x 9
= 18
Answer(s): (a) 135; (b) 18