Six servings of stew can be cooked in a 2-quart pot. How many can be cooked in a 12-quart pot? Jane solved 6 2 = f 12 and answered 36. Ivania solved 2 6 = 12 f and answered 36. Compare the two methods. Are both correct?

Respuesta :

The problem can be solved in different ways.

Applying a rule of three we have:

6 servings ---------------> 2-quart pot

x ---------------------------> 12-quart pot

Clearing the value of x we have:

[tex] x = (\frac{12}{2}) * (6)

x = 36
[/tex]

Using ratios can also be solved in two ways:


Way 1:

Service relationship to quart pot:

[tex] \frac{6}{2} =\frac{f}{12}
[/tex]

Clearing f we have:

[tex] f = (\frac{6}{2}) * (12)

f = 36
[/tex]


Way 2:

Relationship of quart pot to services:

[tex] \frac{2}{6}= \frac{12}{f}
[/tex]

Clearing f we have:

[tex] f = (\frac{6}{2}) * (12)

f = 36
[/tex]

Answer:

The two methods are correct.