Word Problem

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Word Problem

by heshamelaziry » Mon Oct 19, 2009 8:57 pm
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) i/6

(2) 1/3

(3) 3/8

(4) 1/2

(5) 5/8

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by regor60 » Tue Oct 20, 2009 11:10 am
T=B+F
F=1/3 * B

therefore

T= 4/3 * B and T = 4*F

(2/3) *B = (2/3) * (3/4)*T = 1/2 *T

(1/2)*F = (1/2) * (1/4) * T = 1/8 *T

Total cut = 5/8 *T, therefore uncut = 3/8 * T