A box contains some oranges, starfruits and passion fruits. 0.4 of the oranges is equal to 30% of the starfruits. The number of passion fruits is ⁴₅ of the total number of starfruits and oranges. If there are 24 less starfruits than passion fruits, how many fruits are there in the box altogether?

Oranges	Starfruits	Passion Fruits
3x5	4x5
5x7		4x7
15 u	20 u	28 u

0.4 = ⁴₁₀= ²₅
30% = ³⁰₁₀₀ = ³₁₀

0.4 of the oranges is equal to 30% of the starfruits. Make the numerators the same.  LCM of 2 and 3 is 6.

2x35x3 of the oranges = 3x210x2 of the starfruits
615 of the oranges = 620 of the starfruits 

Oranges : Starfruits
15 : 20 _(÷5)
3 : 4

The total number of oranges and starfruits is repeated.  Make the total number of oranges and starfruits the same.  LCM of 7 and 5 is 35.

Number of less starfruits than passion fruits
= 28 u - 20 u
= 8 u

8 u = 24

1 u = 24 ÷ 8 = 3

Number of the fruits in the box altogether
= 15 u + 20 u + 28 u
= 63 u
= 63 x 3
= 189

Answer(s): 189