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

Explanation:

Step1: Calculate total cost of cranberries and almonds

Total cost of cranberries is \(1\times4 = 4\). Total cost of almonds is \(4\times5=20\).

Step2: Set up equation for mixture cost

The total cost of the mixture is the sum of the costs of cranberries and almonds. The total weight of the mixture is \(1 + 4=5\) pounds. Let \(c\) be the price per pound of the mixture. Then \((1 + 4)c=1\times4+4\times5\).

Step3: Solve the equation

$$
LATEXBLOCK0
$$

Answer:

\(4.8\)