Question

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?

Answer 1

Jane set up the proportion with servings in the numerators and quarts in the denominators. Ivania did the opposite.

Answer 2

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:

$x = (\frac{12}{2}) * (6)\\x = 36$

Using ratios can also be solved in two ways:

Way 1:

Service relationship to quart pot:

$\frac{6}{2} =\frac{f}{12}$

Clearing f we have:

$f = (\frac{6}{2}) * (12)\\f = 36$

Way 2:

Relationship of quart pot to services:

$\frac{2}{6}= \frac{12}{f}$

Clearing f we have:

$f = (\frac{6}{2}) * (12)\\f = 36$

Answer:

The two methods are correct.

Answer 3

Jane set up the proportion with servings in the numerators and quarts in the denominators. Ivania did the opposite.