Middle School

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Freya, a post office clerk, uses 2 yards, 1 foot, 7 inches of twine to wrap each damaged carton she repairs. She has to repair 17 cartons today. How much twine will she need?

A. 42 yards 2 feet 11 inches
B. 42 yards 17 feet 199 inches
C. 34 yards 17 feet 119 inches
D. 34 yards 26 feet 11 inches

Answer :

Freya needs 42 yards, 2 feet, and 11 inches of twine to wrap 17 cartons. The calculation involves converting all measurements to inches and then back to yards, feet, and inches. The correct answer is option A.

To determine how much twine Freya needs to wrap 17 cartons, we first convert all the measurements to a single unit, preferably inches:

  • 1 yard = 3 feet
  • 1 foot = 12 inches
  • 1 yard = 36 inches

Freya uses 2 yards, 1 foot, and 7 inches of twine for each carton. Converting to inches:

  • 2 yards = 2 x 36 = 72 inches
  • 1 foot = 1 x 12 = 12 inches
  • Total twine per carton = 72 + 12 + 7 = 91 inches

For 17 cartons:

Total twine needed = 91 inches/carton x 17 cartons = 1547 inches

Converting back to yards, feet, and inches:

  • 1547 inches = 1547 / 36 = 42 yards and remainder 35 inches
  • 35 inches = 2 feet (24 inches) and 11 inches
  • So, 1547 inches = 42 yards, 2 feet, and 11 inches

The total twine needed is 42 yards, 2 feet, and 11 inches.

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Rewritten by : Barada

Freya, a post office clerk, uses 2 yards, 1 foot, 7 inches of twine to wrap each damaged carton she repairs.




So,




2 yards 1 feet 7 inches means 2 yards 1 feet and 0.5833 feet


Means 2 yards feet


2 yards 1.5833 feet




So,


Means 2 yards and 0.528 yards = 2.528 yards


It means for 1 carton, she needs twine = 2.528 yards


So, for 17 carton, she needs twine =


It means she needs 42.976 yards twine.


Hope it will help :)