Harry buys American cheese at the deli. He buys 1/4 pound at the cost of x dollars per pound. If he pays $12.25 for 2.5 pounds of cheese, what is the cost per pound? Please show your work.
4.9
So $4.90?
12.25 / 2.5 = ?
Correct.
To find the cost per pound, we need to set up an equation using the given information.
Let's break down the problem step by step:
The total cost of the cheese is given as $12.25.
We know that the total weight of the cheese is 2.5 pounds.
Let's represent the cost per pound as "x".
Based on this information, we can set up the equation:
Total cost = Cost per pound * Total weight
$12.25 = x * 2.5
To solve for x, we need to isolate the variable:
Divide both sides of the equation by 2.5:
x = $12.25 / 2.5
x = $4.90
Therefore, the cost per pound of cheese is $4.90.
To summarize the steps:
1. Set up the equation: Total cost = Cost per pound * Total weight,
$12.25 = x * 2.5
2. Divide both sides of the equation by the total weight (2.5):
x = $12.25 / 2.5
3. Simplify the equation:
x = $4.90
Hence, the cost per pound of cheese is x = $4.90.