Question

In a fruit cocktail, for every 15 ml of

orange juice you need 25 ml of apple
juice and 10 ml of coconut milk. What
proportion of the cocktail is coconut
milk?
Give your answer as a fraction in its
simplest form.​

Answer 1

The proportion of the cocktail is the coconut milk
`(1 )/(5)` .

Explanation:

Given as :

The quantity of orange juice = o = 15 ml

The quantity of apple juice = a = 25 ml

The quantity of coconut milk = c = 10 ml

Let The total quantity of cocktail = x ml

Let The proportion of the cocktail is the coconut milk = y

Now According to question

The total quantity of cocktail = quantity of orange juice + quantity of apple juice + quantity of coconut milk

Or, x = o + a + c

Or, x = 15 ml + 25 ml + 10 ml

Or, x = 50 ml

So, The total quantity of cocktail = x = 50 ml

Now,

∵ The quantity of coconut milk = 10 ml

So, The proportion of the cocktail is the coconut milk =
`(\textrm quantity of coconut milk)/(\textrm total quantity of cocktail)`

Or, y =
`(c)/(x)`

Or, y =
`(10 ml)/(50 ml)`

Or, y =
`(1 )/(5)`

So, The proportion of the cocktail is the coconut milk = y =
`(1 )/(5)`

Hence,The proportion of the cocktail is the coconut milk
`(1 )/(5)` . Answer