Scott used 1 3 tablespoons of salt to make 1 4 liters of beans. If Scott's recipe is for 1 liter of beans, how much salt will he need to make triple the recipe?

A) 3 tablespoons of salt
B) 4 tablespoons of salt
C) 6 tablespoons of salt
D) 9 tablespoons of salt

Respuesta :

Answer:

B) 4 tablespoons of salt

Step-by-step explanation:

Here is the correct question: Scott used 1/3 tablespoons of salt to make 1/4 liters of beans. If Scott's recipe is for 1 liter of beans, how much salt will he need to make triple the recipe?

Given is the ratio of salt and beans to make recipe for 1 liter of beans.

Ratio given for 1 liters of beans; [tex]\frac{salt}{beans} = \frac{\frac{1}{3} }{\frac{1}{4} }[/tex].

Now, simplifying the ratio

[tex]\frac{\frac{1}{3} }{\frac{1}{4} }= \frac{1}{3} \times \frac{4}{1}[/tex]

∴ Ratio for salt and bean in a recipe for 1 liter of beans is [tex]\frac{4}{3}[/tex].

Next, finding the proportion of salt to make triple the recipe.

Triple the recipe means 3 times of 1 liter of beans, which is 3 liters of beans.

∴ The proportion of salt in 3 liter beans= [tex]\frac{4\ tablespoon\ salt}{3\ tablespoon\ beans} \times 3\ lts\ of\ beans[/tex]

Hence, 4 tablespoon of salt is required to make 3 liters of beans or triple the recipe.

Answer:b

Step-by-step explanation: