Bill blends 1/2 pound of peanuts that sell for $3.50/lb with

[sjone604]

Bill blends 1/2 pound of peanuts that sell for $3.50 per pound with 3/4 pound walnuts that sell for $5.00 per pound. What should be the price per pound of the mixed nuts?
________________dollars per pound

 

[jwpaine]

Re: HELP

\(\displaystyle \frac{1}{2}lb + \frac{3}{4}lb = \frac{5}{4}lb\)

\(\displaystyle \frac{1}{2}*3.50 + \frac{3}{4}*5.00 = 1.75 + 3.75 = 5.50\)

You pay $5.50 for every \(\displaystyle \frac{5}{4}\) lb of mixed nuts.

Now what will the price be for a full pound? HINT: use proportions.

 

[Mrspi]

Bill blends 1/2 pound of peanuts that sell for $3.50 per pound with 3/4 pound walnuts that sell for $5.00 per pound. What should be the price per pound of the mixed nuts?
________________dollars per pound

Let x = price per pound of the mixed nuts

We know we have 1/2 pound of peanuts that cost $3.50 per pound. The value of the peanuts in the mixture is (1/2)*($3.50), or $1.75.

We know we have 3/4 pound of walnuts that sell for $5.00 per pound. The value of the walnuts in the mixture is (3/4)*($5.00), or $3.75.

Now...we know these things:

The weight of the mixture is 1/2 pound + 3/4 pound.

The total value of the mixture is (value of peanuts) + (value of walnuts), or $1.75 + $3.75.

weight of mixture * price per pound of mixture = total price
(1/2 + 3/4) * x = 1.75 + 3.75

Solve that for x.

If you are still having trouble with this problem, please repost, showing all of the work you've done to try to solve it. Seeing your work is the best way for us to tell where you're having difficulty.

 

[jwpaine]

oop... I made a little mistake there and did (1/2) for each. Sorry!
It has been fixed.