A container contains some apples, pears and lemons. 0.6 of the apples is equal to 40% of the pears. The number of lemons is ⁵₆ of the total number of pears and apples. If there are 42 more lemons than pears, how many fruits are there in the container altogether?

Apples	Pears	Lemons
2x6	3x6
6x5		5x5
12 u	18 u	25 u

0.6 = ⁶₁₀= ³₅
40% = ⁴⁰₁₀₀ = ²₅

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

3x25x2 of the apples = 2x35x3 of the pears
610 of the apples = 615 of the pears 

Apples : Pears
10 : 15 _(÷5)
2 : 3

The total number of apples and pears is repeated.  Make the total number of apples and pears the same.  LCM of 5 and 6 is 30.

Number of more lemons than pears
= 25 u - 18 u
= 7 u

7 u = 42

1 u = 42 ÷ 7 = 6

Number of the fruits in the container altogether
= 12 u + 18 u + 25 u
= 55 u
= 55 x 6
= 330

Answer(s): 330