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On a map, 1/4 inch represents 12 miles. If a road is 66 miles long, what is its length, in inches, on the map?
  • a)
    5 1/2
  • b)
    5 1/8
  • c)
    1 1/2
  • d)
    1 3/8
  • e)
    7/8
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
On a map, 1/4 inch represents 12 miles. If a road is 66 miles long, wh...
To solve this question, we can set up a proportion using the given information. We know that 1/4 inch on the map represents 12 miles in reality. Let's set up the proportion:

1/4 inch = 12 miles

We need to find the length of the road in inches on the map, so let's call that length "x". We can set up the proportion as follows:

1/4 inch = 12 miles
x inches 66 miles

To solve for x, we can use cross-multiplication. Multiply the numerator of the first fraction by the denominator of the second fraction, and multiply the denominator of the first fraction by the numerator of the second fraction:

(1/4) * 66 = 12 * x

66/4 = 12x

Now, we can simplify the left side of the equation:

16.5 = 12x

To solve for x, divide both sides of the equation by 12:

16.5/12 = x

x = 1.375

So the length of the road on the map is 1.375 inches.

To find the answer choice that corresponds to this length, we can convert 1.375 into a mixed number or fraction.

1.375 is equivalent to 1 and 375/1000. Simplifying the fraction gives us 1 and 3/8.

Therefore, the length of the road on the map is 1 3/8 inches, which corresponds to option D.
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Community Answer
On a map, 1/4 inch represents 12 miles. If a road is 66 miles long, wh...
The correct answer is D. To solve this equation, first calculate how many 1/4-inch segments there will be. Dividing 66 by 12, you can see that there will be 5.5 1/4-inch segments. Thus, the road’s length in inches will be 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/8 = 1 1/4 + 1/8 = 1 3/8.
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On a map, 1/4 inch represents 12 miles. If a road is 66 miles long, what is its length, in inches, on the map?a)5 1/2b)5 1/8c)1 1/2d)1 3/8e)7/8Correct answer is option 'D'. Can you explain this answer?
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