Question

using a table to solve a mixture problem
fernando purchased 1 pound of dried cranberries and 4 pounds of almonds to make a trail mix. cranberries cost $4 per pound and almonds cost $5 per pound. what is the price per pound of the trail mix?
$
cranberries 1 4 1(4)
almonds 4 5 4(5)
mixture 1 + 4 c (1 + 4)c

Explanation:

Step1: Calculate total cost of cranberries

The cost of 1 - pound of cranberries at $4 per pound is $1\times4 = 4$.

Step2: Calculate total cost of almonds

The cost of 4 - pounds of almonds at $5 per pound is $4\times5=20$.

Step3: Calculate total cost of the mixture

The total cost of the mixture is the sum of the cost of cranberries and almonds, so $4 + 20=24$.

Step4: Calculate total weight of the mixture

The total weight of the mixture is $1 + 4=5$ pounds.

Step5: Calculate price per pound of the mixture

Let $c$ be the price per pound of the mixture. We know that the total cost of the mixture $(1 + 4)c$ is equal to the sum of the costs of its components. So $c=\frac{4 + 20}{1+4}=\frac{24}{5}=4.8$.

Answer:

$4.8$