Renata's recipe for her famous Kale 'n' Clam Quencher calls for kale juice and clam juice in a 3:1 ratio. If Renata pours 18 liters of fresh kale juice into a vat, how many liters of clam juice should she add

Respuesta :

Answer:

6 liters

Step-by-step explanation:

Given:

Renata's recipe for her famous Kale 'n' Clam Quencher calls for kale juice and clam juice in a 3:1 ratio.

If Renata pours 18 liters of fresh kale juice, how many liters of clam juice should she add to maintain this ratio?

Solution:

Ratio to be maintain by using kale juice and clam juice = 3 : 1 ( given)

Renata pours fresh kale juice = 18 liters

We have to calculate quantity of clam juice should be added to maintain this ratio:-

Let quantity of clam juice should be added = [tex]x[/tex]

Ratio to be maintain : : quantity of kale juice : quantity of clam juice

[tex]3 : 1=18:x\\ \\ \frac{3}{1} =\frac{18}{x} \\ \\[/tex]

By cross multiplication:

[tex]3x=18[/tex]

By dividing both sides by 3

[tex]x=6\ liters[/tex]

Thus, 6 liters of clam juice should she add.