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A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?
  • a)
    12
  • b)
    12.25
  • c)
    12.5
  • d)
    12.75
  • e)
    13
Correct answer is option 'E'. Can you explain this answer?
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Most Upvoted Answer
A manufacturer produces a certain mens athletic shoe in integer sizes ...
We are given that the shoe sizes range from 8 to 17, with each unit increase in size corresponding to a 1/4-inch increase in length.
Let's calculate the difference in length between the largest and smallest sizes:
Length difference = (17 - 8) * (1/4)
Length difference = 9/4 inches
We are also given that the largest size is 20% longer than the smallest size. Let's calculate this increase:
20% of the length of the smallest size = (20/100) * (9/4)
Increase = 9/20 inches
To find the length of the shoe in size 15, we need to add the increase to the length of the smallest size:
Length of size 15 = Length of smallest size + Increase
Length of size 15 = (8 * 1/4) + (9/20)
Length of size 15 = 2 + 9/20
Length of size 15 = (40/20 + 9/20)
Length of size 15 = 49/20
To convert this fraction into a decimal, we divide the numerator by the denominator:
Length of size 15 = 2.45 inches
Among the given answer choices, the closest value to 2.45 inches is 13 inches (E).
Therefore, the answer is E.
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Community Answer
A manufacturer produces a certain mens athletic shoe in integer sizes ...
We are given that the shoe sizes range from 8 to 17, with each unit increase in size corresponding to a 1/4-inch increase in length.
Let's calculate the difference in length between the largest and smallest sizes:
Length difference = (17 - 8) * (1/4)
Length difference = 9/4 inches
We are also given that the largest size is 20% longer than the smallest size. Let's calculate this increase:
20% of the length of the smallest size = (20/100) * (9/4)
Increase = 9/20 inches
To find the length of the shoe in size 15, we need to add the increase to the length of the smallest size:
Length of size 15 = Length of smallest size + Increase
Length of size 15 = (8 * 1/4) + (9/20)
Length of size 15 = 2 + 9/20
Length of size 15 = (40/20 + 9/20)
Length of size 15 = 49/20
To convert this fraction into a decimal, we divide the numerator by the denominator:
Length of size 15 = 2.45 inches
Among the given answer choices, the closest value to 2.45 inches is 13 inches (E).
Therefore, the answer is E.
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A manufacturer produces a certain mens athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?a)12b)12.25c)12.5d)12.75e)13Correct answer is option 'E'. Can you explain this answer?
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A manufacturer produces a certain mens athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?a)12b)12.25c)12.5d)12.75e)13Correct answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A manufacturer produces a certain mens athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?a)12b)12.25c)12.5d)12.75e)13Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A manufacturer produces a certain mens athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?a)12b)12.25c)12.5d)12.75e)13Correct answer is option 'E'. Can you explain this answer?.
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