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.

do your own work and don"t cheat.

step-by-step explanation:

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!