Question

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

Answer 1

Renata should add 6 liters of clam juice to the 18 liters of kale juice to achieve the 3:1 kale to clam juice ratio in her recipe.

Step-by-step explanation:

Renata's Kale 'n' Clam Quencher recipe uses a 3:1 ratio of kale juice to clam juice. If Rachel pours 18 liters of kale juice, she needs to maintain this ratio to determine the correct amount of clam juice to add.

Step-by-step calculation:

1. Identify the ratio of kale juice to clam juice: 3 parts kale juice to 1 part clam juice.
2. Determine the total parts in the ratio: 3 (kale) + 1 (clam) = 4 parts.
3. Calculate the quantity of one part by dividing the known quantity of kale juice by the kale part of the ratio: 18 liters ÷ 3 = 6 liters per part.
4. Multiply the quantity of one part by the clam part of the ratio to find the required clam juice: 6 liters × 1 = 6 liters of clam juice.

Hence, Renata should add 6 liters of clam juice to maintain the correct ratio for her recipe.

Answer 2

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 =
`x`

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

`3 : 1=18:x\\ \\ (3)/(1) =(18)/(x) \\ \\`

By cross multiplication:

`3x=18`

By dividing both sides by 3

`x=6\ liters`

Thus, 6 liters of clam juice should she add.