There were 118 starfruits and passion fruits altogether. After ³₄ of the starfruits and half of the passion fruits were given away, there were a total of 33 starfruits and passion fruits left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.

	Starfruits	Passion Fruits	Total
Before	4 u	2 p	118
Change	- 3 u	- 1 p	- 85
After	1 u	1 p	33

Number of starfruits and passion fruits given away
= 118 - 33
= 85

3 u + 1 p = 85
1 p = 85 - 3 u --- (1)

1 u + 1 p = 33
1 p = 33 - 1 u --- (2)

(2) = (1)
33 - 1 u = 85 - 3 u
3 u - 1 u = 85 - 33
2 u = 52

1 u = 52 ÷ 2 = 26

Number of starfruits at first
= 4 u
= 4 x 26
= 104

Number of passion fruits at first
= 118 - 104
= 14

Fraction of the fruits that were passion fruits at first
= ¹⁴₁₁₈
= ⁷₅₉

Answer(s): ⁷₅₉