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maksim [4K]
3 years ago
7

The tile backslash will be a mixture of colors of five-inch square tiles. One quarter of the tiles will be "Indian Red" one sixt

h 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"
Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

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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