A container contains some passion fruits, oranges and apples. 0.8 of the passion fruits is equal to 70% of the oranges. The number of apples is ⁴₅ of the total number of oranges and passion fruits. If there are 48 more apples than oranges, how many fruits are there in the container altogether?

Passion Fruits	Oranges	Apples
7x1	8x1
5x3		4x3
7 u	8 u	12 u

0.8 = ⁸₁₀= ⁴₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.8 of the passion fruits is equal to 70% of the oranges. Make the numerators the same.  LCM of 4 and 7 is 28.

4x75x7 of the passion fruits = 7x410x4 of the oranges
2835 of the passion fruits = 2840 of the oranges 

Passion Fruits : Oranges
35 : 40 _(÷5)
7 : 8

The total number of passion fruits and oranges is repeated.  Make the total number of passion fruits and oranges the same.  LCM of 15 and 5 is 15.

Number of more apples than oranges
= 12 u - 8 u
= 4 u

4 u = 48

1 u = 48 ÷ 4 = 12

Number of the fruits in the container altogether
= 7 u + 8 u + 12 u
= 27 u
= 27 x 12
= 324

Answer(s): 324