A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to include 2 pounds of beef and 6 potatoes. Which propitiation represents the situation?

Respuesta :

To answer the question, let B call the amount of meat and P the number of potatoes.

The recipe says that for every pound of meat we need 3 potatoes.

Then that relationship is written as follows:

[tex]1B = 3P[/tex]

[tex]\frac{1}{3}=\frac{P}{B}[/tex]

If we increase the amounts of the recipe by 100%, it will multiply by 2 the amount of meat and also that of potatoes. Therefore we need 2 pounds of meat and 6 potatoes.

Then the relationship is:

[tex]2B = 6P[/tex]

[tex]\frac{2}{6}=\frac{P}{B}[/tex]

But [tex]\frac{2}{6}=\frac{1}{3}[/tex]

Therefore, the proportion that represents the situation remains the same [tex]1B = 3P[/tex]

This occurs because the increase in the amount of potatoes and beef was in the same proportion.

Answer:

b and d

Step-by-step explanation:

ACCESS MORE
EDU ACCESS