A farmer was 1/3 of his land to grow corn, a quarter of his land to grow lettuce, and 12.5% of his l

Discussion in 'Calculator Requests' started by math_celebrity, Aug 31, 2018.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A farmer was 1/3 of his land to grow corn, a quarter of his land to grow lettuce, and 12.5% of his land to grow green beans. He uses the remaining 7 acres to grow wheat.How many total acres does the farmer own?

    Convert all land portions to fractions or decimals. We will do fractions:
    • 1/3 for corn
    • A quarter means 1/4 for lettuce
    • 12.5% is 12.5/100 or 1/8 for green beans
    Now add all these up:
    1/3 + 1/4 + 1/8

    We need a common factor for 3, 4, and 8. Using our LCM Calculator, we get 24.
    1/3 = 8/24
    1/4 = 6/24
    18 = 3/24

    Add them all up:
    (8 + 6 + 3)/24
    17/24

    This means 17/24 of the land is used for everything but wheat. Wheat occupies (24-17)/24 = 7/24 of the land.

    We'll use a for the number of acres on the farm.
    7a/24 = 7
    a = 24
     

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