A container contains some persimmons, passion fruits and mangosteens. 0.6 of the persimmons is equal to 70% of the passion fruits. The number of mangosteens is ²₃ of the total number of passion fruits and persimmons. If there are 80 less passion fruits than mangosteens, how many fruits are there in the container altogether?

Persimmons	Passion Fruits	Mangosteens
7x3	6x3
3x13		2x13
21 u	18 u	26 u

0.6 = ⁶₁₀= ³₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.6 of the persimmons is equal to 70% of the passion fruits. Make the numerators the same.  LCM of 3 and 7 is 21.

3x75x7 of the persimmons = 7x310x3 of the passion fruits
2135 of the persimmons = 2130 of the passion fruits 

Persimmons : Passion Fruits
35 : 30 _(÷5)
7 : 6

The total number of persimmons and passion fruits is repeated.  Make the total number of persimmons and passion fruits the same.  LCM of 13 and 3 is 39.

Number of less passion fruits than mangosteens
= 26 u - 18 u
= 8 u

8 u = 80

1 u = 80 ÷ 8 = 10

Number of the fruits in the container altogether
= 21 u + 18 u + 26 u
= 65 u
= 65 x 10
= 650

Answer(s): 650