Question

using a table to solve a mixture problem
fernando purchased 1 pound of dried cranberries and 4 pound of almonds to make a trail mix. cranberries cost $4 per pound, almonds cost $5 per pound. what is the price per pound of the trail mix?
$\square$

	pounds	price per pound	total cost
almonds	4	5	$4(5)$
mixture	$1 + 4$	$c$	$(1 + 4)c$

Explanation:

Step1: Calculate total cost of cranberries

Total cost of cranberries = pounds of cranberries × price per pound of cranberries = \(1\times4 = 4\) dollars.

Step2: Calculate total cost of almonds

Total cost of almonds = pounds of almonds × price per pound of almonds = \(4\times5 = 20\) dollars.

Step3: Calculate total cost of mixture

Total cost of mixture = total cost of cranberries + total cost of almonds = \(4 + 20 = 24\) dollars.

Step4: Calculate total pounds of mixture

Total pounds of mixture = pounds of cranberries + pounds of almonds = \(1 + 4 = 5\) pounds.

Step5: Calculate price per pound of mixture

Price per pound of mixture \(c=\frac{\text{total cost of mixture}}{\text{total pounds of mixture}}=\frac{24}{5}=4.8\) dollars.

Answer:

\(4.8\)