ten pounds of potatoes cost $2.55. How much will 6 pounds cost? Write and solve a proportion. Justify your steps.
6/10=x/2.55
multiply each side by 2.55
6/10 x 2.55=x
8 = 2x – 3 This is the equation to be solved.
8+3 = 2x – 3+3 Add each side by 3.
11 = 2x
11/( 2 ) = 2x/2 Next divide each side 2.
5 1/2=x Answer = 5 1/2
To calculate how much 6 pounds of potatoes will cost, we can set up a proportion using the given information.
Let "x" represent the cost of 6 pounds of potatoes. We know that 10 pounds of potatoes cost $2.55.
We can set up the proportion using these values:
10 pounds of potatoes / $2.55 = 6 pounds of potatoes / x
To solve the proportion, we can cross-multiply:
(10 pounds of potatoes) * x = (6 pounds of potatoes) * $2.55
10x = 6 * $2.55
Now, we can solve for "x". Divide both sides of the equation by 10:
x = (6 * $2.55) / 10
x = $15.3 / 10
x = $1.53
Therefore, 6 pounds of potatoes will cost $1.53.
Here's a summary of the steps:
1. Set up the proportion using the given information.
2. Cross-multiply to eliminate the fractions.
3. Solve the resulting equation for "x" by dividing both sides by the coefficient of "x".
4. Simplify the numerical expression to find the value of "x".
5. The final solution, "x", represents the cost of 6 pounds of potatoes, which is $1.53.