There were 140 persimmons and passion fruits altogether. After ³₄ of the persimmons and half of the passion fruits were thrown away, there were a total of 48 persimmons and passion fruits left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.

	Persimmons	Passion Fruits	Total
Before	4 u	2 p	140
Change	- 3 u	- 1 p	- 92
After	1 u	1 p	48

Number of persimmons and passion fruits thrown away
= 140 - 48
= 92

3 u + 1 p = 92
1 p = 92 - 3 u --- (1)

1 u + 1 p = 48
1 p = 48 - 1 u --- (2)

(2) = (1)
48 - 1 u = 92 - 3 u
3 u - 1 u = 92 - 48
2 u = 44

1 u = 44 ÷ 2 = 22

Number of persimmons at first
= 4 u
= 4 x 22
= 88

Number of passion fruits at first
= 140 - 88
= 52

Fraction of the fruits that were passion fruits at first
= ⁵²₁₄₀
= ¹³₃₅

Answer(s): ¹³₃₅