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Emerson is making costumes for the
school play. She needs 3 1/2 square
yards of fabric to make each costume.
If she uses a total of 46 2/3 square
yards of fabric, how many costumes
does she make?


Sagot :

9514 1404 393

Answer:

  13 costumes

Step-by-step explanation:

The amount of fabric used is the product of the amount per costume and the number of costumes.

  A = na . . . . . A = total area; n = number of costumes; 'a' = area per costume

  46 2/3 = n(3 1/2)

  n = (46 2/3)/(3 1/2) = (140/3)/(7/2) = (140/3)(2/7) = 40/3 = 13 1/3

Apparently there is some waste, as Emerson used more fabric than necessary to make 13 costumes.

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