Can you help me answer the bold questions by my professor in bold below?

Pick one of the problems in the attached file (at end of this message). Solve it using a system of linear equations, showing details of how you set up your equations and the steps that you went through for the solution. You must use one of the methods in your Unit 2 Lesson (Addition/Subtraction, Substitution, Graphical Method) in order to get credit for this forum so you may want to complete your reading assignment before you attempt your post.

 

The problem I chose:

A mom bought 28 packages of Reese’s Cups with 88 total cups. Each king size package holds 4 cups. Each regular size package holds two cups. How many of each size did she buy?

My answer:

2X+

 

X+

Our next step is to isolate either X or Y.

-Y

We now plug this into our equation instead of X, which will look like this.

2(28-Y) + 4Y = 88

We now begin to solve for Y, and start by multiplying 28 and -Y by two.

56-2Y+4Y = 88

We now subtract 56 from 88 and subtract 2Y from 4Y to simplify the problem a bit.

88-56= 32

Our new equation...

 

Dividing 32 by 2 gives us our value of Y which is 16.

, which equals the number of king sized packages that she purchased.

We now plug this into the original equation that we wrote and begin to solve for X.

2X+4(16)

2X+

24/

.

The solution shows us that she bought 12 regular packages and 16 king sized packages. When you plug these answers into the original equation it verifies that the answer correctly completes the four-step process.

 

Professor’s Follow-up questions:

 

Can you please tell us what your variables represent? Can you please explain in detail how you came up with your first two equations? What method have you used to solve this problem? Can you please show the calculations for the check you describe you would do to?

ComputerScienceExpert

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Status NEW Posted 23 Apr 2017 09:04 AM My Price 9.00

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file 1492939139-Solutions file 2.docx preview (51 words )

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