A box contains some passion fruits, pears and apples. 0.8 of the passion fruits is equal to 70% of the pears. The number of apples is ²₃ of the total number of pears and passion fruits. If there are 10 more apples than pears, how many fruits are there in the box altogether?

Passion Fruits	Pears	Apples
7x1	8x1
3x5		2x5
7 u	8 u	10 u

0.8 = ⁸₁₀= ⁴₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

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

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

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

The total number of passion fruits and pears is repeated.  Make the total number of passion fruits and pears the same.  LCM of 15 and 3 is 15.

Number of more apples than pears
= 10 u - 8 u
= 2 u

2 u = 10

1 u = 10 ÷ 2 = 5

Number of the fruits in the box altogether
= 7 u + 8 u + 10 u
= 25 u
= 25 x 5
= 125

Answer(s): 125