A container contains some passion fruits, mangoes and apples. 0.2 of the passion fruits is equal to 70% of the mangoes. The number of apples is ⁴₇ of the total number of mangoes and passion fruits. If there are 176 more apples than mangoes, how many fruits are there in the container altogether?

Passion Fruits	Mangoes	Apples
7x7	2x7
7x9		4x9
49 u	14 u	36 u

0.2 = ²₁₀= ¹₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.2 of the passion fruits is equal to 70% of the mangoes. Make the numerators the same.  LCM of 1 and 7 is 7.

1x75x7 of the passion fruits = 7x110x1 of the mangoes
735 of the passion fruits = 710 of the mangoes 

Passion Fruits : Mangoes
35 : 10 _(÷5)
7 : 2

The total number of passion fruits and mangoes is repeated.  Make the total number of passion fruits and mangoes the same.  LCM of 9 and 7 is 63.

Number of more apples than mangoes
= 36 u - 14 u
= 22 u

22 u = 176

1 u = 176 ÷ 22 = 8

Number of the fruits in the container altogether
= 49 u + 14 u + 36 u
= 99 u
= 99 x 8
= 792

Answer(s): 792