Final answer:
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:
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.