The tile back splash will be a mixture of colors of four inch square tiles. one fifth of the tiles will be indian red three tenths will be tuscan blue one sixth will be eucalyptus and the rest will be the color of sand . what fraction of the tiles will be the color of sand .

Explanation:

1/5 of the tiles are indian red

3/10 of the tiles are Tuscan blue

1/6 of the tiles are eucalyptus

x of the tiles are sand, where x is some fraction

The four fractions listed above add to 1. The "1" refers to a whole back splash, in which you can think of "1" as "100%"

We have the fractions 1/5, 3/10 and 1/6

To combine these fractions, we need a common denominator. In this case, the lowest common denominator (LCD) is 30 as this is the LCM of the denominators 5, 10, and 6.

Let's get each fraction to have a denominator of 30

1/5 = (6/6)*(1/5) = 6/30

3/10 = (3/3)*(3/10) = 9/30

1/6 = (5/5)*(1/6) = 5/30

So effectively we have these fractions: 6/30, 9/30, and 5/30

They add to the unknown fraction x to get 1

Let's solve for x.

(1/5) + (3/10) + (1/6) + x = 1

(6/30) + (9/30) + (5/30) + x = 1

(6/30 + 9/30 + 5/30) + x = 1

(6 + 9 + 5)/30 + x = 1

20/30 + x = 1

2/3 + x = 1

x + 2/3 = 1

x+2/3-2/3=1-2/3 ... subtract 2/3 from both sides

x = 1 - 2/3

x = 3/3 - 2/3

x = (3 - 2)/3

x = 1/3

1/3 of the tiles are the color of sand

sorry

step-by-step explanation:

sorry, but im pretty sure its a now that i look at it