Barbara is tiling her craft room floor with square tiles. She wants 6/10 of the square tiles to be red. If she uses 18 red, how many square tiles will be used to cover the floor?

Respuesta :

Answer:

18 is 6/10

18/1 = 6/10

Cross multiply

18x10 is 180

180/6 is 30 tiles total

Step-by-step explanation:


Answer:

30 square tiles will be used to cover the floor.

Step-by-step explanation:

To find the number of tiles that will be used to cover the floor, we will have to interpret the statement mathematically and then solve.

Let x be the total number of tiles that will be used to cover the floor.

From the statement above, Barbara uses 6/10 of the square tiles which is  18 red.

so, 6/10 of the square tiles is equal to 18 red

which implies;

[tex]\frac{6}{10}[/tex]    of  x   =  18

[tex]\frac{6}{10}[/tex] × x  =  18

[tex]\frac{6x}{10}[/tex]   =    18

cross multiply

6 × x  =  18  ×  10

6x  = 180

Divide both-side of the equation by 6

[tex]\frac{6x}{6}[/tex]   =   [tex]\frac{180}{6}[/tex]

(At the left-hand side of the equation, the 6 on the numerator will cancel-out the 6 at the denominator leaving us with just x while at the right-hand side of the equation 180 will be divided by 6)

x   = [tex]\frac{180}{6}[/tex]

x = 30

Therefore, the number of square tiles that will be used to cover the floor is 30.