Question

A recipe for 12 bran muffins calls for 1 cup of flour. the number of muffins that can be made varies directly with the amount of flour used. There are 1 and 1/4 cups of flour available. How many muffins can be made?

Answer 1

12 muffins = 1 cup

x = 1 1/4 cups

x = 5/4 cups

cross multiply:

12*5 / 4 = x * 1

3 * 5 = x

x = 15

Answer = 15 Muffins

Other way:

1 1/4 cups = how many muffins

you already know 1 cup = 12 muffins

remaining 1/4 cups = how many muffins?

1/4 of 12 = 3

So 12 + 3 = 15 muffins

Answer 2

If recipe for 12 bran muffins calls for 1 cup of flour. the number of muffins that can be made varies directly with the amount of flour used. There are 1 and 1/4 cups of flour available. How many muffins can be made will be 15 muffins

First step

Let x represent  the number of cup of flour and let y represent the number of muffin baked

y=12

x=1

Equation of direct variation

y=kx

Let solve k

k=y/x

Substitute and Evaluate

k=12/1

Second step

Let equation of direct variation be:

y=12x

Let substitute x=1.25 into the equation

y=12(1.25)

y=15

Inconclusion if recipe for 12 bran muffins calls for 1 cup of flour. the number of muffins that can be made varies directly with the amount of flour used. There are 1 and 1/4 cups of flour available. How many muffins can be made will be 15 muffins.

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