SOLUTION: the cost of 5 boxes of envelopes and boxes of note paper is $25.95. Two boxes of enveiopes and 6 boxes of note paper cost $22.38. Find the cost of each box of envelopes and each bo
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Question 110681: the cost of 5 boxes of envelopes and boxes of note paper is $25.95. Two boxes of enveiopes and 6 boxes of note paper cost $22.38. Find the cost of each box of envelopes and each box of note paper. Found 2 solutions by stanbon, solver91311:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! the cost of 5 boxes of envelopes and boxes of note paper is $25.95. Two boxes of enveiopes and 6 boxes of note paper cost $22.38. Find the cost of each box of envelopes and each box of note paper.
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Let cost of box of envelopes be "e"; Let cost of box of notes be "n".
EQUATIONS:
5e + ?n = 25.95
2e + 6n = 22.38
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Comment: # of boxes of note pater in 1st sentence is missing.
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Cheers,
Stan H.
You can put this solution on YOUR website! You need to re-post this problem after you include the number of boxes of note paper in the first condition.
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However, I did a little analysis and determined that if the first condition was 5 boxes of envelopes and 3 boxes of note paper, you get an answer that doesn't involve fractional parts of cents, so I'll use that number and you can adjust the arithmetic if it turns out to be something else.
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The first thing I like to do when dealing with dollar amounts expressed with decimal fractions is to convert everything to cents. I'd just rather work with large whole numbers than decimal fractions, and it is easy enough to convert back at the end.
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Let's say that the cost of a box of envelopes is e, and the cost of a box of note paper is n. Based on the information in the problem (and my assumption) we can say that:
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Eq 1) , and
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Eq 2)
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Step 1: Divide Eq 2) by -2
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Eq 3)
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Step 2: Add Eq 3) to Eq 1), term by term and solve the result:
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Eq 4)
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Step 3: Substitute this value into either original equation and solve:
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So, Envelopes are $3.69 per box, and note paper is $2.50 per box -- given that my assumption about the note paper quantity was correct.
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