95% of the fruits consisted of bananas, apples, and oranges. If oranges were twice as popular as bananas, and apples were 25 percentage points less popular than bananas, what are the percentages of each individual fruit

Respuesta :

Apples, Oranges and Bananas comprise of 18.99%, 50.66% and 25.33% of the total fruits respectively

Let f be the total number of fruits available

Let b the number of bananas

Fruits that consist of bananas, oranges and apples = 95%

Oranges = 2*bananas

=2b

Apples = 75% of bananas

=0.75b

Formulating the equation we get:

b + 2b + 0.75b = 0.95f

3.75b = 0.95f

b = 0.95f/3.75

b= 0.2533

So bananas amount to 25.33% of the total fruit

Oranges in terms of total fruit= 2*25.33% = 50.66%

Apples in terms of total fruit = 0.75*25.33 = 18.99%

Hence, Apples, Bananas and Oranges comprise 95% of the total fruits.

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