Seven hours ago, a fruit seller started his day with some pears and starfruits in the ratio of 7 : 4. There were 60 starfruits. Some of the pears were bought by Dana. As a result, the number of pears became
45 of the starfruits.
- How many pears did the fruit seller have at first?
- How many starfruits did the fruit seller have to sell in order to have an equal number of pears and starfruits?
|
Pears |
Starfruits |
Before |
7x5 = 35 u |
4x5 = 20 u |
Change |
- ? |
|
After |
4x4 = 16 u |
5x4 = 20 u |
(a)
The number of starfruits remains unchanged. Make the number of starfruits the same. LCM of 4 and 5 is 20.
20 u = 60
1 u = 60 ÷ 20 = 3
Number of pears that the fruit seller had at first
= 35 u
= 35 x 3
= 105
(b)
Number of starfruits that the fruit seller had to sell to have an equal number of pears and starfruits
= 20 u - 16 u
= 4 u
= 4 x 3
= 12
Answer(s): (a) 105; (b) 12