Pencils cost $0.49 each. You estimate the cost as $0.50 each. How many pencils do you need to buy for your estimate to differ from the actual cost by $2.00?
At $.01 difference for each pencil, you need 200.
200
Correct! If the actual cost is $0.49 each, and you estimate the cost as $0.50 each, then the difference in cost for each pencil is $0.01. To have a difference of $2.00, you need to divide $2.00 by $0.01 to get 200. Therefore, you would need to buy 200 pencils.
To find out how many pencils you need to buy for your estimate to differ from the actual cost by $2.00, we can set up an equation.
Let's assume you want to buy x number of pencils. The actual cost of each pencil is $0.49, and your estimate is $0.50.
The difference between your estimate and the actual cost is:
$0.50 - $0.49 = $0.01 (one cent)
To find out the total difference between your estimate and the actual cost, we can multiply the difference of one cent by the number of pencils (x) that you plan to buy:
Total Difference = $0.01 * x
According to the question, you are looking for the total difference to be $2.00. So we can set up the equation:
$0.01 * x = $2.00
To solve for x, we need to divide both sides of the equation by $0.01:
x = $2.00 / $0.01
x = 200
Therefore, you would need to buy 200 pencils for your estimate to differ from the actual cost by $2.00.