SOLUTION: If 10 pens and 15 pass of paper cost $26 and 5 of the same pens and 10 of the same pads of paper cost $16, find the cost of a pen and a pad

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Question 987634: If 10 pens and 15 pass of paper cost $26 and 5 of the same pens and 10 of the same pads of paper cost $16, find the cost of a pen and a pad
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the cost of a pen
Let +b+ = the cost of a pad
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(1) +10a+%2B+15b+=+26+
(2) +5a+%2B+10b+=+16+
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Multiply both sides of (2) by +2+
and subtract (1) from (2)
(2) +10a+%2B+20b+=+32+
(1) +-10a+-+15b+=+-26+
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+5b+=6+
+b+=+6%2F5+
and
(2) +5a+%2B+10%2A%28+6%2F5+%29+=+16+
(2) +5a+%2B+12+=+16+
(2) +5a+=+4+
(2) +a+=+4%2F5+
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A pen costs $.80
A pad costs $1.20
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check:
(1) +10a+%2B+15b+=+26+
(1) +10%2A%284%2F5%29+%2B+15%2A%286%2F5%29+=+26+
(1) +40+%2B+90+=+5%2A26+
(1) +130+=+130+
OK