A container contains some lemons, mangoes and passion fruits. 0.6 of the lemons is equal to 40% of the mangoes. The number of passion fruits is ⁵₆ of the total number of mangoes and lemons. If there are 70 more passion fruits than mangoes, how many fruits are there in the container altogether?

Lemons	Mangoes	Passion Fruits
2x6	3x6
6x5		5x5
12 u	18 u	25 u

0.6 = ⁶₁₀= ³₅
40% = ⁴⁰₁₀₀ = ²₅

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

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

Lemons : Mangoes
10 : 15 _(÷5)
2 : 3

The total number of lemons and mangoes is repeated.  Make the total number of lemons and mangoes the same.  LCM of 5 and 6 is 30.

Number of more passion fruits than mangoes
= 25 u - 18 u
= 7 u

7 u = 70

1 u = 70 ÷ 7 = 10

Number of the fruits in the container altogether
= 12 u + 18 u + 25 u
= 55 u
= 55 x 10
= 550

Answer(s): 550