186k views
5 votes
The height of a stack of 12 pennies is 18.24 millimeters. The height of a stack of 12 nickels is 23.46 millimeters. How many more millimeters thick is a nickel than a penny?

a. 4.22 mm
b. 5.22 mm
c. 6.22 mm
d. 7.22 mm

1 Answer

3 votes

Final answer:

To calculate the additional thickness of a nickel compared to a penny, divide the heights of their respective stacks by 12 and subtract the averages, resulting in a 0.435 mm difference. However, this result does not match any of the answer choices provided, suggesting a possible typo or inconsistency in the question.

Step-by-step explanation:

The height of a stack of 12 pennies is 18.24 millimeters, while the height of a stack of 12 nickels is 23.46 millimeters. To find out how much thicker one nickel is than one penny, we need to calculate the average thickness of a single penny and a single nickel and then find the difference.

First, divide the total height of the penny stack by the number of pennies:

  • Height of penny stack / Number of pennies = Average thickness of one penny
  • 18.24 mm / 12 = 1.52 mm

Now, do the same for the nickels:

  • Height of nickel stack / Number of nickels = Average thickness of one nickel
  • 23.46 mm / 12 = 1.955 mm

Finally, subtract the average thickness of a penny from that of a nickel to find the additional thickness:

  • Average thickness of one nickel - Average thickness of one penny = Additional thickness of a nickel
  • 1.955 mm - 1.52 mm = 0.435 mm

If we combine this calculation with the question options, it seems like there might be a typo since none of the listed answers match our result of 0.435 mm. Therefore, based on the presented calculations, the thickness difference would actually be 0.435 mm.

User Francesco Puglisi
by
6.7k points