Perry had some pomegranates and mangosteens. The number of pomegranates and mangosteens left were the same after Perry sold ³₄ of the pomegranates and ³₅ of the mangosteens. If he had 104 pomegranates at first,

1. How many pomegranates were left?
2. How many mangosteens did Perry have at first?

	Pomegranates	Mangosteens
Before	4x2 = 8 u	5 u
Change	- 3x2 = - 2 u	- 3 u
After	1x2 = 2 u	2 u

(a)
Fraction of the pomegranates left
= 1 - ³₄
= ¹₄

Fraction of the mangosteens left
= 1 - ³₅
= ²₅

The number of pomegranates and mangosteens left were the same.  Make the number of pomegranates and mangosteens left the same. LCM of 1 and 2 is 2.

Number of pomegranates at first = 8 u
Number of mangosteens at first = 5 u

8 u = 104

1 u = 104 ÷ 8 = 13

Number of pomegranates left
= 2 u
= 2 x 13
= 26

(b)
Number of mangosteens at first
= 5 u
= 5 x 13
= 65

Answer(s): (a) 26; (b) 65