James uses 1/3 of his land for growing strawberries, 1/4 for cheeses, 3/8 for vegetables and the remaining 9 hectares for oats. What is the total area of his land?

A) 216 acres

B) 70 acres

C) 90 acres

D) None of these

Let the total piece of land that he has be x hectares,

According to question, x/3 hectare land is used for strawberries, x/4 hectare for chesses, 3x/8 hectare for vegetables and 9 hectares for oats,

total land area= x

Therefore,

x = x/3 + x/4 + 3x/8 + 9,

taking x common,

1 = 1/3 + 1/4 + 3/8 + 9/x,

1 – (1/3 + 1/4 + 3/8) = 9/x,

1 – ((8 + 6 + 9)/24) = 9/x,

1 – (23/24) = 9/x,

1/24 = 9/x or x = 216 hectares

2/3 x (3/2-1/4) +5/4=?

A) 1/2

B) 2/3

C) 4/4

D) None of these

By Using BODMAS , we slove bracket first:

2/3 x  [ 6-1]/4 +5/4

2/3 x 5/4 + 5/4

multiply 

5/6 +5/4

Take LCM 

⇒25/12

 

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