Seven hours ago, a fruit seller started his day with some passion fruits and pomegranates in the ratio of 8 : 7. There were 350 pomegranates. Some of the passion fruits were bought by Jane. As a result, the number of passion fruits became ⁴₅ of the pomegranates.

1. How many passion fruits did the fruit seller have left?
2. How many passion fruits did the fruit seller have to buy in order to have an equal number of passion fruits and pomegranates?

	Passion Fruits	Pomegranates
Before	8x5 =  40 u	7x5 = 35 u
Change	- ?
After	4x7 = 28 u	5x7 = 35 u

(a)
The number of pomegranates remains unchanged.  Make the number of pomegranates the same.  LCM of 7 and 5 is 35.

35 u = 350

1 u = 350 ÷ 35 = 10

Number of passion fruits that the fruit seller had left
= 28 u
= 28 x 10
= 280 

(b)
Number of passion fruits that the fruit seller had to buy to have an equal number of passion fruits and pomegranates
= 35 u - 28 u
= 7 u
= 7 x 10
= 70 

Answer(s): (a) 280; (b) 70