A box contains some persimmons, lemons and mangosteens. 0.4 of the persimmons is equal to 30% of the lemons. The number of mangosteens is ³₄ of the total number of lemons and persimmons. If there are 25 more mangosteens than lemons, how many fruits are there in the box altogether?

Persimmons	Lemons	Mangosteens
3x4	4x4
4x7		3x7
12 u	16 u	21 u

0.4 = ⁴₁₀= ²₅
30% = ³⁰₁₀₀ = ³₁₀

0.4 of the persimmons is equal to 30% of the lemons. Make the numerators the same.  LCM of 2 and 3 is 6.

2x35x3 of the persimmons = 3x210x2 of the lemons
615 of the persimmons = 620 of the lemons 

Persimmons : Lemons
15 : 20 _(÷5)
3 : 4

The total number of persimmons and lemons is repeated.  Make the total number of persimmons and lemons the same.  LCM of 7 and 4 is 28.

Number of more mangosteens than lemons
= 21 u - 16 u
= 5 u

5 u = 25

1 u = 25 ÷ 5 = 5

Number of the fruits in the box altogether
= 12 u + 16 u + 21 u
= 49 u
= 49 x 5
= 245

Answer(s): 245