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how many reams of white paper, Algebra Word Problem

by Lucas Duncan
(Pocatello, Idaho United States)











































Maria is ordering copy paper for her office. The office is low on white paper and on blue paper. She will pay $3.50 per ream of white paper and $3.75 per ream of blue paper.

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May 31, 2011
Algebra - Word Problem
by: Staff


The question:

by Lucas Duncan
(Pocatello, Idaho United States)

Maria is ordering copy paper for her office. The office is low on white paper and on blue paper. She will pay $3.50 per ream of white paper and $3.75 per ream of blue paper.


The answer:

Maria is ordering copy paper for her office. The office is low on white paper and on blue paper. She will pay $3.50 per ream of white paper and $3.75 per ream of blue paper.

You left out part of the problem statement. I think this is the other portion:

Question:

If the purchase order is for $36.00 and she ordered 10 reams of paper, how many reams of white paper will she receive?


Variables:

W = the number of reams of white paper purchased
B = the number of reams of blue paper purchased


Equations:

1st equation: ordered 10 reams of paper

W + B = 10


2nd equation: purchase order is for $36.00

($3.50)*W + ($3.75)*B = $36.00



Solve for W and B


Solve for W in terms of B using the 1st equation

W + B = 10

W + B - B = 10 - B

W + 0 = 10 - B

W = 10 - B


Substitute 10-B for W in the 2nd equation

($3.50)*W + ($3.75)*B = $36.00

($3.50)*(10 - B) + ($3.75)*B = $36.00


Solve for B

($3.50)*(10 - B) + ($3.75)*B = $36.00

Using the distributive law, multiply ($3.50)*(10 - B)

35.00 – (3.50)*B + (3.75)*B = 36.00

Combine like terms

35.00 + (0.25)*B = 36.00


Subtract 35.00 from each side of the equation

35.00 - 35.00 + (0.25)*B = 36.00 - 35.00

0 + (0.25)*B = 36.00 - 35.00

(0.25)*B = 36.00 - 35.00

(0.25)*B = 1.00

Divide each side of the equation by 0.25

(0.25)*B/0.25 = 1.00/0.25

(0.25)*B/0.25 = 4.00

B*(0.25/0.25) = 4.00

B*(1) = 4.00

B = 4 reams


Substitute 4 for B in the 1st equation, and then solve for W

W + B = 10

W + 4 = 10

Subtract 4 from each side of the equation

W + 4 - 4 = 10 - 4

W + 0 = 10 - 4

W = 10 - 4

W = 6 reams


The final answer to the question is: 6 reams of white paper, 4 reams of blue paper


Check your work by substituting 6 for W and 4 for B in the original equations:


1st equation: ordered 10 reams of paper

W + B = 10

6 + 4 = 10

10 = 10, OK


2nd equation: purchase order is for $36.00

($3.50)*W + ($3.75)*B = $36.00

($3.50)*6 + ($3.75)*4 = $36.00

$21 + $15 = $36.00

$36 = $36.00, OK






Thanks for writing.

Staff
www.solving-math-problems.com


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