Final answer:
Nancy walked 14 miles in the walk-a-thon. This was determined by setting up an equation where Judy walked twice as many miles as Nancy, and their combined mileage was 42 miles. The equation 3n = 42 was solved to find out Nancy's mileage.
Step-by-step explanation:
To determine how many miles Nancy walked in the walk-a-thon, we need to set up an equation based on the information provided. We are told that Judy walked twice as many miles as Nancy, and together they walked a total of 42 miles. Let's use 'n' to represent the number of miles Nancy walked.
We can express the number of miles Judy walked as '2n' since Judy walked twice as many as Nancy. The sum of their walked miles is 42, so the equation is:
n + 2n = 42
Combining like terms gives us:
3n = 42
To solve for 'n', divide both sides of the equation by 3:
n = 42 / 3
n = 14
Therefore, Nancy walked 14 miles.