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The variable x represents the number of red bricks Layla bought and the variable y represents the number of grey bricks she bought.


Layla bought 301 red and grey bricks for a landscape project. She bought 6 times as many grey bricks as red bricks.


How many of each type of brick did she buy?


Which system of equations models the problem?




A.{x+6y=301

{y=6x



B.{x+y=301

{y=6x


C.{x−y=301

{y=6x


D.{x+y=6

{y=301x

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gabrieldavidmilGabe

Answer:


Step-by-step explanation:


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raphealnwobi

There are 43 red bricks and 258 grey bricks and the equations are x + y = 301 and y = 6x

Let x represents the number of red bricks Layla bought and y represents the number of grey bricks she bought.

Since Layla bought 301 red and grey bricks for a landscape project, hence:

x + y = 301    (1)

Also she bought 6 times as many grey bricks as red bricks, hence:

y = 6x  (2)

Solving equation 1 and 2 simultaneously gives: x = 43, y = 258

Hence there are 43 red bricks and 258 grey bricks and the equations are x + y = 301 and y = 6x

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