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

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 =

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

By cross multiplication:

By dividing both sides by 3

Thus, 6 liters of clam juice should she add.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

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step-by-step explanation: