A box contains some passion fruits, pomegranates and mangoes. 0.4 of the passion fruits is equal to 70% of the pomegranates. The number of mangoes is ³₅ of the total number of pomegranates and passion fruits. If there are 26 less pomegranates than mangoes, how many fruits are there in the box altogether?

Passion Fruits	Pomegranates	Mangoes
7x5	4x5
5x11		3x11
35 u	20 u	33 u

0.4 = ⁴₁₀= ²₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.4 of the passion fruits is equal to 70% of the pomegranates. Make the numerators the same.  LCM of 2 and 7 is 14.

2x75x7 of the passion fruits = 7x210x2 of the pomegranates
1435 of the passion fruits = 1420 of the pomegranates 

Passion Fruits : Pomegranates
35 : 20 _(÷5)
7 : 4

The total number of passion fruits and pomegranates is repeated.  Make the total number of passion fruits and pomegranates the same.  LCM of 11 and 5 is 55.

Number of less pomegranates than mangoes
= 33 u - 20 u
= 13 u

13 u = 26

1 u = 26 ÷ 13 = 2

Number of the fruits in the box altogether
= 35 u + 20 u + 33 u
= 88 u
= 88 x 2
= 176

Answer(s): 176