8. Janine has 3/5
of a pound of peanuts to divide equally between 2 friends.
a. What is the weight of peanuts in pounds that each friend will
receive?
b. One of Janine's friends already had 3/4 pounds of peanuts before Janine gave her more. However, this friend wants to end with 2 pounds of peanuts. How much more pounds of peanuts does this friend need to get to end up with 2 pounds of peanuts?​

Respuesta :

Answer:

Part a) Each friend will receive [tex]\frac{3}{10}\ pounds[/tex]

Part b) [tex]\frac{19}{20}\ pounds[/tex]  or [tex]0.95\ pounds[/tex]

Step-by-step explanation:

Part a)

we know that

To calculate the weight of peanuts in pounds that each friend will

receive, divide the total pounds of peanuts by two

so

[tex]\frac{(3/5)}{2}=\frac{3}{10}\ pounds[/tex]

Part b)

Let

x-----> pounds of extra peanuts the friend needs to end up with 2 pounds of peanuts

we know that

[tex]2=x+\frac{3}{10}+\frac{3}{4}[/tex]

Solve for x

[tex]x=2-(\frac{3}{10}+\frac{3}{4})[/tex]

Multiply by 40 both sides

[tex]40x=80-(12+30)[/tex]

[tex]40x=38[/tex]

[tex]x=\frac{38}{40}\ pounds[/tex]

Simplify

[tex]x=\frac{19}{20}\ pounds[/tex]  or [tex]x=0.95\ pounds[/tex]

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