Six hours ago, a grocer started his day with some starfruits and apples in the ratio of 8 : 7. There were 350 apples. Some of the starfruits were bought by Lynn. As a result, the number of starfruits became
25 of the apples.
- How many starfruits did the grocer have at first?
- How many apples did the grocer have to sell in order to have an equal number of starfruits and apples?
|
Starfruits |
Apples |
Before |
8x5 = 40 u |
7x5 = 35 u |
Change |
- ? |
|
After |
2x7 = 14 u |
5x7 = 35 u |
(a)
The number of apples remains unchanged. Make the number of apples the same. LCM of 7 and 5 is 35.
35 u = 350
1 u = 350 ÷ 35 = 10
Number of starfruits that the grocer had at first
= 40 u
= 40 x 10
= 400
(b)
Number of apples that the grocer had to sell to have an equal number of starfruits and apples
= 35 u - 14 u
= 21 u
= 21 x 10
= 210
Answer(s): (a) 400; (b) 210