bill blends 5/4 pound of peanuts that sell for $2.50 per pound with 3/4 pound of walnuts that sell for $5.50 per pound. What should be their price per pound of the mixed nuts? Round your answer to the decimal places
2.50(5/4) + 5.50(3/4) = x(5/4 + 3/4)
x = $3.625
To find the price per pound of the mixed nuts, we need to calculate the cost of the peanuts and walnuts separately and then combine them.
First, let's calculate the cost of the peanuts. Bill blends 5/4 pound of peanuts that sell for $2.50 per pound. So the cost of the peanuts is calculated as follows:
5/4 pound * $2.50 per pound = $3.125
Next, let's calculate the cost of the walnuts. Bill blends 3/4 pound of walnuts that sell for $5.50 per pound. So the cost of the walnuts is calculated as follows:
3/4 pound * $5.50 per pound = $4.125
Now, let's find the total cost of the mixed nuts by adding the cost of the peanuts and the cost of the walnuts:
$3.125 + $4.125 = $7.25
Finally, we can find the price per pound of the mixed nuts by dividing the total cost by the total weight. In this case, the total weight is 5/4 pound + 3/4 pound = 2 pounds. So:
$7.25 / 2 pounds = $3.625 per pound
Rounding to the decimal places, the price per pound of the mixed nuts should be approximately $3.63.