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]