Question

n a fruit cocktail, for every 30 ml of orange juice you need 45 ml of apple juice and 25 ml of coconut milk. What proportion of the cocktail is apple juice?
Give your answer as a fraction in its simplest form.

Answer 1

Given :

• 30 ml of orange juice.

• 45 ml of apple juice.

• 25 ml of coconut milk.

To find :

• Proportion of the cocktail is apple juice =?

Step-by-step explanation :

It is Given that :

In a fruit cocktail :

• 30 ml of orange juice.

• 45 ml of apple juice.

• 25 ml of coconut milk.

So,

The total quantity of juice in the fruit cocktail = orange juice + apple juice + coconut milk.

Substituting the values, we get,

= 30 + 45 + 25

= 30 + 70

= 100.

Therefore, The total quantity of juice in the fruit cocktail = 100 ml.

Now,

Finding proportion of the cocktail is apple juice,

Quantity of apple juice in fruit cocktail = 45 ml.

Proportion of the cocktail is apple juice = Quantity of apple juice in fruit cocktail / Total quantity of juice in the fruit cocktail.

Substituting the values, we get,

= 45/100

= 9/20

Therefore, Proportion of the cocktail is apple juice = 9/20.

Answer 2

Answer:

⠀⠀$\begin{tabular}{|c|c|}\cline{1-2}\sf Orange Juice &\sf 30 ml\\\cline{1-2}\sf Apple Juice&\sf 45 ml\\\cline{1-2}\sf Coconut Milk&\sf 25 ml\\\cline{1-2}\end{tabular}$

⠀⠀⠀$\rule{160}{1}$

☯ $\underline{\boldsymbol{According\: to \:the\: Question :}}$

$:\implies\sf Apple\:Juice=\dfrac{Apple\:Juice}{Cocktail}\\\\\\:\implies\sf Apple\:Juice = \dfrac{Apple\:Juice}{Orange+Apple+Coconut}\\\\\\:\implies\sf Apple\:Juice = \dfrac{45 \:ml}{30 \:ml + 45 \:ml + 25 \:ml} \\\\\\:\implies\sf Apple\:Juice = \dfrac{45 \:ml}{100 \:ml}\\\\\\:\implies\underline{\boxed{\sf Apple\:Juice = \dfrac{9}{20} }}$

⠀

$\therefore\:\underline{\textsf{Proportion of Apple Juice in cocktail is \textbf{ {}^{\text9}\!/{}_{\text{20}} }}}.$