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

$\frac{coconut}{total} = \frac{10}{15 + 25 + 10} = \frac{10}{50} = \frac{1}{5}$

Answer 2

The proportion of coconut milk in the cocktail is $4\frac{2}{7}$ ml for every 15 ml of orange juice.

Proportion shows the fractional composition of a given quantity or substance.

So that:

orange juice = 15 ml

contents of the orange juice;

apple juice = 25 ml

coconut milk = 10 ml

total              = 35 ml

So that;

the fraction of apple juice in the orange juice = $\frac{25}{35}$ x 15

                                           = $\frac{75}{7}$

the fraction of apple juice in the orange juice = $10\frac{5}{7}$ ml

Also,

the fraction of coconut juice in the orange juice = $\frac{10}{35}$ x 15

                                         = $\frac{30}{7}$

the fraction of coconut juice in the orange juice = $4\frac{2}{7}$ ml

Therefore, the proportion of the cocktail that is coconut milk is: for every 15 ml of orange juice, then $4\frac{2}{7}$ ml of coconut juice is required.

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