A container contains some mangosteens, apples and persimmons. 0.8 of the mangosteens is equal to 60% of the apples. The number of persimmons is ²₃ of the total number of apples and mangosteens. If there are 8 more persimmons than apples, how many fruits are there in the container altogether?

Mangosteens	Apples	Persimmons
3x3	4x3
3x7		2x7
9 u	12 u	14 u

0.8 = ⁸₁₀= ⁴₅
60% = ⁶⁰₁₀₀ = ³₅

0.8 of the mangosteens is equal to 60% of the apples. Make the numerators the same.  LCM of 4 and 3 is 12.

4x35x3 of the mangosteens = 3x45x4 of the apples
1215 of the mangosteens = 1220 of the apples 

Mangosteens : Apples
15 : 20 _(÷5)
3 : 4

The total number of mangosteens and apples is repeated.  Make the total number of mangosteens and apples the same.  LCM of 7 and 3 is 21.

Number of more persimmons than apples
= 14 u - 12 u
= 2 u

2 u = 8

1 u = 8 ÷ 2 = 4

Number of the fruits in the container altogether
= 9 u + 12 u + 14 u
= 35 u
= 35 x 4
= 140

Answer(s): 140