The cost of 8 boxes of paper clips and 7 boxes of staples cost $44.95. 5 boxes of paper clips and 3 boxes of staples cost $22.8. what is the cost of each box of paper clips and each box of staples

Cost of each box of paper clips is $2.25 and cost of each box of staples $3.85

Step-by-step explanation:

Let the cost of 1 box of paper clips be 'x'.

Let the cost of 1 box of stapler be 'y'.

Given:

The cost of 8 boxes of paper clips and 7 boxes of staples cost $44.95.

So framing the above quote in equation form we get;

Also Given:

The cost of 5 boxes of paper clips and 3 boxes of staples cost $22.8.

So framing the above quote in equation form we get;

Now Multiplying equation 2 by 7 we get;

Now Multiplying equation 1 by 3 we get;

Now Subtracting equation 4 from equation 3 we get;

Now Substituting the value of x in equation 1 we get;

Hence Cost of each box of paper clips is $2.25 and cost of each box of staples $3.85