Question

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?​

Answer 1

Part a) Each friend will receive
`(3)/(10)\ pounds`

Part b)
`(19)/(20)\ pounds` or
`0.95\ pounds`

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

`((3/5))/(2)=(3)/(10)\ pounds`

Part b)

Let

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

we know that

`2=x+(3)/(10)+(3)/(4)`

Solve for x

`x=2-((3)/(10)+(3)/(4))`

Multiply by 40 both sides

`40x=80-(12+30)`

`40x=38`

`x=(38)/(40)\ pounds`

Simplify

`x=(19)/(20)\ pounds` or
`x=0.95\ pounds`