A container contains some apples, starfruits and persimmons. 0.4 of the apples is equal to 80% of the starfruits. The number of persimmons is ⁴₅ of the total number of starfruits and apples. If there are 14 more persimmons than starfruits, how many fruits are there in the container altogether?

Apples	Starfruits	Persimmons
2x5	1x5
5x3		4x3
10 u	5 u	12 u

0.4 = ⁴₁₀= ²₅
80% = ⁸⁰₁₀₀ = ⁴₅

0.4 of the apples is equal to 80% of the starfruits. Make the numerators the same.  LCM of 2 and 4 is 4.

2x25x2 of the apples = 4x15x1 of the starfruits
410 of the apples = 45 of the starfruits 

Apples : Starfruits
10 : 5 _(÷5)
2 : 1

The total number of apples and starfruits is repeated.  Make the total number of apples and starfruits the same.  LCM of 3 and 5 is 15.

Number of more persimmons than starfruits
= 12 u - 5 u
= 7 u

7 u = 14

1 u = 14 ÷ 7 = 2

Number of the fruits in the container altogether
= 10 u + 5 u + 12 u
= 27 u
= 27 x 2
= 54

Answer(s): 54