Abag with 2 1/6 ounces of peanuts can make 2/5 of a jar of peanut butter. it can make one full jar with how many ounces of peanuts?

Step One

Change 2 1/16 into an improper fraction. An improper fraction has a numerator and a denominator; the denominator < the numerator.

Step Two

Set up the proportion.

2 1/16 cup : 2/5 product :: x cups peanuts / 1 cup product.

x = 2 1/16 cup / 2/5

Step 3

Solve for x.

Invert and multiply the 2/5

x = 165/32 = 5 5/32 <<<< Fraction Answer

which is an awkward result especially if you intend to make this peanut butter.

x = 5 5/32 = 5.15625 <<<< Decimal ansawer

Method two

Change all the fractions to decimals

2 1/16 = 2.0625

2/5 = 0.4

Set up the proportion.

2.0625/0.4 = x / 1

x = 2.0625/0.4 = 5.15625 cups of peanuts are needed.  

One of these two answers should be what you are given as choices.

is there a picture

step-by-step explanation: