red and blue ceramic tiles are laid according to a pattern such that every 21 red tiles used, 4 blue tiles are used. if a total of 425 tiles are used, how many of them are blue? setup a proportion for this scenario( use x for your unknown number of blue tiles).

Using proportions, it is found that there are 68 blue tiles.

The rule of three is:

4 blue - 25 total

x blue - 425 total

Applying cross multiplication:

There are 68 blue tiles.

To learn more about proportions, you can check link

X= blue tiles

Y = red tiles

X/y = 4/21

X+y= 425

Y= 357 tiles

X= 68 tiles

Step-by-step explanation:

red and blue ceramic tiles are laid according to a pattern.

The pattern= every 21 red tiles used, 4 blue tiles are used

Total number of tiles used = 425 tiles

X= blue tiles

Y = red tiles

X/y = 4/21

X+y= 425

21x= 4y

X= 4y/21

X+y= 425

4y/21 + y = 425

25y= 425(21)

Y=( 425*21)/25

Y= 357 tiles

X= 4y/21

X= (4*357)/21

X= 1428/21

X= 68 tiles

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.