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John's front lawn is 1/3 the size of his back lawn. [#permalink]

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03 Aug 2013, 01:53

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A

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57% (00:53) correct
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John's front lawn is 1/3 the size of his back lawn. If John mows 1/2 of his front lawn and 2/3 of his back lawn, what fraction of his lawn is left unmowed?

Re: John's front lawn is 1/3 the size of his back lawn. [#permalink]

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03 Aug 2013, 01:57

genuinebot85 wrote:

John's front lawn is 1/3 the size of his back lawn. If John mows 1/2 of his front lawn and 2/3 of his back lawn, what fraction of his lawn is left unmowed?

1. 1/6 2. 1/3 3. 3/8 4 1/2 5.5/8

let say back lawn = 6 therefore front lawn = 1/3 * 6 =2 total = 6+2 = 8 now moved lawn= 1/2)*2 + 2/3)*6 = 5 therefore unmoved lawn = total - moved = 8 - 5 =3 fraction = unmoved / total = 3/8

hence C
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Re: John's front lawn is 1/3 the size of his back lawn. [#permalink]

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04 Dec 2013, 21:11

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Fraction of unmoved lawn = Total un mowed lawn / Total Area F - Front Lawn B - Back Lawn

F = 1/3(B)

Total Area = F+B = 4F (or 4/3 B; lets keep it as 4F for simplicity)

Total un mowed = Remaining of Front + Remaining of Back; "John mows 1/2 of his front lawn": so 1/2F remaining "and mows 2/3 of his back lawn,": so 1/3 of B remaining; which is 1/3(3F) = F Total un mowed = 3/2(F)

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Re: John's front lawn is 1/3 the size of his back lawn. [#permalink]

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