One type of decorative ribbon regularly costs $3.59 per yard. When the ribbon is on sale, it cost $2.19 per yard. Which is the closest to the difference in the cost per inch for the ribbon when it on sale compared to its regular price?
A. 1.9 cents per inch
B. 3.8 cents per inch
C. 11.6 cents per inch
D. 16.06 cents per inch
Please explain how to solve. I subtracted 2.19 from 3.59 and got 1.4 and divided by 36 and got .038. How does it come out to be 0.038 cents per inch?
You're right -- but -- you were working with dollars and fractions of a dollar.
0.038 is $0.038 -- a small part of a dollar.
Multiply by 100 to get 3.8 cents per inch.
To find the difference in the cost per inch for the ribbon when it's on sale compared to its regular price, we need to convert the cost from per yard to per inch.
First, we need to convert the cost per yard to the cost per inch for both the regular price and the sale price.
Regular Price:
Cost per yard: $3.59
Since there are 36 inches in a yard, we divide $3.59 by 36 to find the cost per inch:
$3.59 / 36 = $0.099722... per inch ≈ $0.0997 per inch
Sale Price:
Cost per yard: $2.19
Again, we divide $2.19 by 36 to find the cost per inch:
$2.19 / 36 ≈ $0.060833... per inch ≈ $0.0608 per inch
Then, we find the difference in cost per inch:
$0.0997 - $0.0608 = $0.0389 per inch ≈ $0.0389
So, the closest option to the difference in the cost per inch for the ribbon when it's on sale compared to its regular price is 3.8 cents per inch, which corresponds to option B.
Note: In the original calculation, you divided by 36 to convert from yards to inches correctly, but it appears that there was a mistake in the decimal point placement. Instead of getting 0.038 cents per inch, you got 0.038 cents per inch, which should actually be 0.038 dollars per inch or 3.8 cents per inch.
To find the difference in the cost per inch for the ribbon when it is on sale compared to its regular price, you need to follow a few steps:
Step 1: Find the difference in price per yard between the regular price and the sale price.
Regular price per yard: $3.59
Sale price per yard: $2.19
Difference in price per yard: $3.59 - $2.19 = $1.40
Step 2: Convert the difference in price per yard to inches. Since there are 36 inches in a yard, divide the difference by 36.
Difference in price per inch: $1.40 / 36 = $0.0389 (rounded to four decimal places)
Now, let's analyze your calculation:
You correctly subtracted the sale price ($2.19) from the regular price ($3.59), which gave you $1.4. However, when you divided it by 36, you made a mistake in the decimal placement.
Instead of dividing by 36, you divided by 100. Dividing by 100 moves the decimal point two places to the left, resulting in 0.014. But you were looking for the cost in cents per inch, so it should be 0.038 cents per inch, not 0.014 cents per inch.
The closest answer choice to 0.038 cents per inch is B. 3.8 cents per inch.