A container contains some apples, mangosteens and pomegranates. 0.4 of the apples is equal to 70% of the mangosteens. The number of pomegranates is ⁵₇ of the total number of mangosteens and apples. If there are 297 less mangosteens than pomegranates, how many fruits are there in the container altogether?

Apples	Mangosteens	Pomegranates
7x7	4x7
7x11		5x11
49 u	28 u	55 u

0.4 = ⁴₁₀= ²₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.4 of the apples is equal to 70% of the mangosteens. Make the numerators the same.  LCM of 2 and 7 is 14.

2x75x7 of the apples = 7x210x2 of the mangosteens
1435 of the apples = 1420 of the mangosteens 

Apples : Mangosteens
35 : 20 _(÷5)
7 : 4

The total number of apples and mangosteens is repeated.  Make the total number of apples and mangosteens the same.  LCM of 11 and 7 is 77.

Number of less mangosteens than pomegranates
= 55 u - 28 u
= 27 u

27 u = 297

1 u = 297 ÷ 27 = 11

Number of the fruits in the container altogether
= 49 u + 28 u + 55 u
= 132 u
= 132 x 11
= 1452

Answer(s): 1452