SOLUTION: Mr. Bins sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1/5 of his original farm land. How big was his farm originally? How much land does he have now

Question 1144699: Mr. Bins sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1/5 of his original farm land. How big was his farm originally? How much land does he have now?
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
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Let x be the area of the farm originally.


Then from the condition you have this equation


     + 100 +  = x.


To solve it, multiply both sides by 10. You will get


    5x + 1000 + 2x = 10x,


    1000 = 10x - 5x - 2x

    1000 = 3x

    x =  acres.


It answers first question.


He has now  of   acres, which is   acres.


It answers second question.


CHECK.   + 100 +  =  =  =  =  acres.   ! Correct !

Solved.

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