Five hours ago, a stallholder started his day with some starfruits and pomegranates in the ratio of 7 : 2. There were 60 pomegranates. Some of the starfruits were bought by Yoko. As a result, the number of starfruits became
25 of the pomegranates.
- How many starfruits did the stallholder have at first?
- How many pomegranates did the stallholder have to sell in order to have an equal number of starfruits and pomegranates?
|
Starfruits |
Pomegranates |
Before |
7x5 = 35 u |
2x5 = 10 u |
Change |
- ? |
|
After |
2x2 = 4 u |
5x2 = 10 u |
(a)
The number of pomegranates remains unchanged. Make the number of pomegranates the same. LCM of 2 and 5 is 10.
10 u = 60
1 u = 60 ÷ 10 = 6
Number of starfruits that the stallholder had at first
= 35 u
= 35 x 6
= 210
(b)
Number of pomegranates that the stallholder had to sell to have an equal number of starfruits and pomegranates
= 10 u - 4 u
= 6 u
= 6 x 6
= 36
Answer(s): (a) 210; (b) 36