A box contains some oranges, lemons and passion fruits. 0.6 of the oranges is equal to 40% of the lemons. The number of passion fruits is ⁵₇ of the total number of lemons and oranges. If there are 8 less lemons than passion fruits, how many fruits are there in the box altogether?

Oranges	Lemons	Passion Fruits
2x7	3x7
7x5		5x5
14 u	21 u	25 u

0.6 = ⁶₁₀= ³₅
40% = ⁴⁰₁₀₀ = ²₅

0.6 of the oranges is equal to 40% of the lemons. Make the numerators the same.  LCM of 3 and 2 is 6.

3x25x2 of the oranges = 2x35x3 of the lemons
610 of the oranges = 615 of the lemons 

Oranges : Lemons
10 : 15 _(÷5)
2 : 3

The total number of oranges and lemons is repeated.  Make the total number of oranges and lemons the same.  LCM of 5 and 7 is 35.

Number of less lemons than passion fruits
= 25 u - 21 u
= 4 u

4 u = 8

1 u = 8 ÷ 4 = 2

Number of the fruits in the box altogether
= 14 u + 21 u + 25 u
= 60 u
= 60 x 2
= 120

Answer(s): 120