A container contains some pears, kiwis and passion fruits. 0.6 of the pears is equal to 80% of the kiwis. The number of passion fruits is ⁵₆ of the total number of kiwis and pears. If there are 170 more passion fruits than kiwis, how many fruits are there in the container altogether?

Pears	Kiwis	Passion Fruits
4x6	3x6
6x7		5x7
24 u	18 u	35 u

0.6 = ⁶₁₀= ³₅
80% = ⁸⁰₁₀₀ = ⁴₅

0.6 of the pears is equal to 80% of the kiwis. Make the numerators the same.  LCM of 3 and 4 is 12.

3x45x4 of the pears = 4x35x3 of the kiwis
1220 of the pears = 1215 of the kiwis 

Pears : Kiwis
20 : 15 _(÷5)
4 : 3

The total number of pears and kiwis is repeated.  Make the total number of pears and kiwis the same.  LCM of 7 and 6 is 42.

Number of more passion fruits than kiwis
= 35 u - 18 u
= 17 u

17 u = 170

1 u = 170 ÷ 17 = 10

Number of the fruits in the container altogether
= 24 u + 18 u + 35 u
= 77 u
= 77 x 10
= 770

Answer(s): 770