A box contains some passion fruits, pears and chikoos. 0.4 of the passion fruits is equal to 70% of the pears. The number of chikoos is ³₅ of the total number of pears and passion fruits. If there are 117 more chikoos than pears, how many fruits are there in the box altogether?

Passion Fruits	Pears	Chikoos
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 pears. Make the numerators the same.  LCM of 2 and 7 is 14.

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

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

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

Number of more chikoos than pears
= 33 u - 20 u
= 13 u

13 u = 117

1 u = 117 ÷ 13 = 9

Number of the fruits in the box altogether
= 35 u + 20 u + 33 u
= 88 u
= 88 x 9
= 792

Answer(s): 792