Question

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?

Answer 1

To find the number of red and grey bricks, we can set up a system of equations based on the given information and solve them. By substituting the value of x back into the second equation, we can determine the number of grey bricks. Layla bought 43 red bricks and 258 grey bricks for her landscape project.

Step-by-step explanation:

To solve this problem, we need to set up a system of equations based on the given information. Let's use the variables x and y to represent the number of red and grey bricks, respectively.

From the problem, we know that Layla bought a total of 301 red and grey bricks. So, we can write the first equation as: x + y = 301.

We are also told that Layla bought 6 times as many grey bricks as red bricks. This can be represented as the equation: y = 6x.

Now, we have a system of equations:

• x + y = 301
• y = 6x

To find the values of x and y, we can solve this system using substitution or elimination. Substitute the second equation into the first equation to get: x + 6x = 301. Simplifying this equation gives us: 7x = 301. Divide both sides by 7 to solve for x: x = 301/7 = 43.

Substituting this value back into the second equation gives us: y = 6(43) = 258.

Therefore, Layla bought 43 red bricks and 258 grey bricks for her landscape project.

Answer 2

`x + y = 301\\y = 6x`

Step-by-step explanation:

`x + y = 301\\6x = y\\x + (6x) = 3017x = 301\\x = 43\\43 + (43(6)) = 301\\y = 258`