On a farm 4 1/2 out of every 15 acres of the land are used to grow crops. Wheat is grown on 5/8 of the land used to grow crops. What percentage of the total area of land on the farm is used to grow wheat ( if you could explain how you got the answer I'd be very thankful)

Respuesta :

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(4 1/2)(5/8)

(9/2)(5/8)=45/16

100(45/16)/15=18.75%

Answer:

Wheat is grown on 18.75% of the total area.

Step-by-step explanation:

On a farm, 4 1/2 out of every 15 acres of the land area used to grow crops (C)

C = 4 1/2 = 9/2 acres

Wheat (W) is grown on 5/8 of the land used to grow Crops.

W = C*(5/8)

W = (9/2)(5/8)= (9*5)/(2*8) = 45/16 acres

Total area (T) is 15 acres and whear area is 45/16 acres. We need to calcualte the Wheat percentage (P)

P = (W/T)*100%

P = ((45/16)/15)*100%

P = (3/16)*100%

P = 300% /16

P = 18.75%

Finally, the wheat is grown on 18.75% of the total area.