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A farmer is able to prepare 1/2 are of soil in 3 days. How long will it take him to prepare 2 1/4 acres of soil?

Respuesta :

Answer:

x = 13 1/2 days

Step-by-step explanation:

1/2 acre              2 1/4 acre

------------ = -------------------------

3 days           x days


using cross products

1/2 * x = 2  1/4 * 3

change 2  1/4 to an improper fraction   (4*2+1)/4 =9/4

1/2 x = 9/4*3

1/2x = 27/4

multiply each side by 2

2 * 1/2 x = 27/4 * 2

x = 27/2

change back to a mixed number

x = 13 1/2