Three hours ago, a grocer started his day with some starfruits and oranges in the ratio of 5 : 4. There were 200 oranges. Some of the starfruits were bought by Eva. As a result, the number of starfruits became
25 of the oranges.
- How many starfruits did the grocer have left?
- How many starfruits did the grocer have to buy in order to have an equal number of starfruits and oranges?
|
Starfruits |
Oranges |
Before |
5x5 = 25 u |
4x5 = 20 u |
Change |
- ? |
|
After |
2x4 = 8 u |
5x4 = 20 u |
(a)
The number of oranges remains unchanged. Make the number of oranges the same. LCM of 4 and 5 is 20.
20 u = 200
1 u = 200 ÷ 20 = 10
Number of starfruits that the grocer had left
= 8 u
= 8 x 10
= 80
(b)
Number of starfruits that the grocer had to buy to have an equal number of starfruits and oranges
= 20 u - 8 u
= 12 u
= 12 x 10
= 120
Answer(s): (a) 80; (b) 120