Question

Mitch used 1/4 pounds of beef to make 3/4 liters of beef strong. If Mitch's recipe is for 1 liter of beef stronoff, how many pounds of beef will he need to make 6 times the recipe?

Answer 1

Answer:

2 pounds

Step-by-step explanation:

Given:

Mitch used 1/4 pounds of beef to make 3/4 liters of beef strong off

If Mitch's recipe is for 1 liter of beef strong off,

Question asked:

How many pounds of beef will he need to make 6 times the recipe?

Solution:

To make $\frac{3}{4}$ liters of beef strong off, Mitch used pounds of beef = $\frac{1}{4}$

To make 1 liter of beef strong off, Mitch used pounds of beef = $\frac{1}{4} \div\frac{3}{4}$

                                                                                                      $=\frac{1}{4} \times\frac{4}{3}\\\\=\frac{1}{3}$

Now, as he makes 6 times the recipe, thus he needs ,$6\ times \ of \frac{1}{3} \ pounds \ of beef$

$6\times\frac{1}{3} \\\frac{6}{3} = 2 \ pounds\ of \ beef$

Therefore, he needs 2 pounds of beef to make 6 times the recipe.

Answer 2

Answer 2 pounds

Step-by-step explanation:

To find the unit rate: multiply the numerator by the reciprocal of the denominator.

unit rate =

1/4

3/4

=

1/4

×

4/3

=

1/3

pounds per liter

Therefore, 6 times the recipe:

1/3 × 6 = 2 pounds of beef