A box contains some oranges, chikoos and passion fruits. 0.4 of the oranges is equal to 80% of the chikoos. The number of passion fruits is ³₇ of the total number of chikoos and oranges. If there are 10 less chikoos than passion fruits, how many fruits are there in the box altogether?

Oranges	Chikoos	Passion Fruits
2x7	1x7
7x3		3x3
14 u	7 u	9 u

0.4 = ⁴₁₀= ²₅
80% = ⁸⁰₁₀₀ = ⁴₅

0.4 of the oranges is equal to 80% of the chikoos. Make the numerators the same.  LCM of 2 and 4 is 4.

2x25x2 of the oranges = 4x15x1 of the chikoos
410 of the oranges = 45 of the chikoos 

Oranges : Chikoos
10 : 5 _(÷5)
2 : 1

The total number of oranges and chikoos is repeated.  Make the total number of oranges and chikoos the same.  LCM of 3 and 7 is 21.

Number of less chikoos than passion fruits
= 9 u - 7 u
= 2 u

2 u = 10

1 u = 10 ÷ 2 = 5

Number of the fruits in the box altogether
= 14 u + 7 u + 9 u
= 30 u
= 30 x 5
= 150

Answer(s): 150