The tile backslash will be a mixture of colors of five-inch square tiles. One quarter of the tiles will be “Indian Red” one sixth will be “T

Question

The tile backslash will be a mixture of colors of five-inch square tiles. One quarter of the tiles will be “Indian Red” one sixth will be “Tuscan Blue”, one fifth will be “Eucalyptus”, and the rest will be the color “Sand”. What fraction of the tiles will be the color of “Sand”

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Cora 2 weeks 2022-01-15T04:22:30+00:00 1 Answer 0 views 0

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    2022-01-15T04:24:15+00:00

    Answer:

    The fraction of tiles that will be the color of “sand” is 23/60

    Step-by-step explanation:

    we know that

    The sum of the fractions of the tiles must be equal to 1

    Let

    x —-> the fraction of tiles that will be the color of “sand”

    we have that

    \frac{1}{4}+\frac{1}{6}+\frac{1}{5}+x=1

    solve for x

    Find the Least Common Multiple of denominators

    LCM=(2^2)((3)(5)=60

    Multiply both sides by 60

    \frac{60}{4}+\frac{60}{6}+\frac{60}{5}+60x=60

    simplify

    15+10+12+60x=60

    60x=60-37\\60x=23\\x=\frac{23}{60}

    therefore

    The fraction of tiles that will be the color of “sand” is 23/60

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