PLEASE ANSWER THIS

Question

matt and ryan each improved their yards by planting grass sod and ornamental grass. They bought their supplies from the same store. Matt spent $68 on 4ft^2 of grass sod and 5 bunches of ornamental grass. Ryan spent $129 on 7ft^2 of grass sod and 10 bunches of ornamental grass. Find the cost of 1ft^2 of grass. sod and the cost of of one bunch of ornamental grass.

Answer 1

Step 1: Define suitable variables

Let S represent 1ft²grass sod and let R represent 1 bunch of ornamental grass.

Step 2: Model the problem using 2 equations, one equation to represent Matt's purchase and the other equation to represent Ryan's purchase,

4S + 5R = 68 for Matt

7S +10R = 129 for Ryan

Step 3: Solve the system of equations.

Since both equations have a coeffiicient in all their terms, I prefer the Elimination by Addition method.

So, if I want to eliminate one of the variables by adding the 2 equations, it is not possible. Let us modify one of our equations. I choose to modify the equation for Matt's purchase by multiplying the entire equation by (-2) and rewrite the 2 equations. So let us rewrite our equations and add them. Here we go!

-8S - 10R =-136

+

7S +10R = 129

----------------------

-1S = -7

Dividing both sides by -1, we have S = 7

Now, substitute the value for S in any one of the two equations to get R= 8.

Step 4; Label your solution.

The cost of 1ft² of grass sod is $7 and the cost of 1ft² of a bunch of ornamental grass is $8.

Answer 2

M=68=4gs+5og

R=129=7gs+10og

Without at least 1 price; this is the best I can do.