A container contains some starfruits, mangosteens and mangoes. 0.8 of the starfruits is equal to 70% of the mangosteens. The number of mangoes is ⁴₇ of the total number of mangosteens and starfruits. If there are 16 less mangosteens than mangoes, how many fruits are there in the container altogether?

Starfruits	Mangosteens	Mangoes
7x7	8x7
7x15		4x15
49 u	56 u	60 u

0.8 = ⁸₁₀= ⁴₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.8 of the starfruits is equal to 70% of the mangosteens. Make the numerators the same.  LCM of 4 and 7 is 28.

4x75x7 of the starfruits = 7x410x4 of the mangosteens
2835 of the starfruits = 2840 of the mangosteens 

Starfruits : Mangosteens
35 : 40 _(÷5)
7 : 8

The total number of starfruits and mangosteens is repeated.  Make the total number of starfruits and mangosteens the same.  LCM of 15 and 7 is 105.

Number of less mangosteens than mangoes
= 60 u - 56 u
= 4 u

4 u = 16

1 u = 16 ÷ 4 = 4

Number of the fruits in the container altogether
= 49 u + 56 u + 60 u
= 165 u
= 165 x 4
= 660

Answer(s): 660