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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).

Respuesta :

Answer:

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

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

  • This question is solved by proportions, using a rule of three.
  • For every 21 red tiles used, 4 blue tiles are used, hence, out of every 25 tiles, 4 are blue. How many blue tiles are there out of 425?

The rule of three is:

4 blue - 25 total

x blue - 425 total

Applying cross multiplication:

[tex]25x = 4(425)[/tex]

[tex]x = \frac{4(425)}{25}[/tex]

[tex]x = 68[/tex]

There are 68 blue tiles.

To learn more about proportions, you can check https://brainly.com/question/24372153