Two hours ago, a grocer started his day with some mangoes and starfruits in the ratio of 5 : 3. There were 45 starfruits. Some of the mangoes were bought by Abi. As a result, the number of mangoes became
45 of the starfruits.
- How many mangoes did the grocer have at first?
- How many starfruits did the grocer have to sell in order to have an equal number of mangoes and starfruits?
|
Mangoes |
Starfruits |
Before |
5x5 = 25 u |
3x5 = 15 u |
Change |
- ? |
|
After |
4x3 = 12 u |
5x3 = 15 u |
(a)
The number of starfruits remains unchanged. Make the number of starfruits the same. LCM of 3 and 5 is 15.
15 u = 45
1 u = 45 ÷ 15 = 3
Number of mangoes that the grocer had at first
= 25 u
= 25 x 3
= 75
(b)
Number of starfruits that the grocer had to sell to have an equal number of mangoes and starfruits
= 15 u - 12 u
= 3 u
= 3 x 3
= 9
Answer(s): (a) 75; (b) 9