document.write( "Question 791384: Victor bought less than $8.40 worth of stamps. He bought 3 times as many 17cent stamps as 25 cent stamps and 4 times as many 2 cent stamps as 25 cent stamps. Find the greatest possible number of 25 cent stamps he bought. \n" ); document.write( "

Algebra.Com's Answer #479561 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+%7D%7B%7D%7D+=+total+number+of+stamps+bought%0D%0ALet+%7B%7B%7B+b+\"$ = number of 17 cent stamps bought
\n" ); document.write( "Let $\"+c+\"$ = number of 25 cent stamps bought
\n" ); document.write( "Let $\"+d+\"$ = number of 2 cent stamps bought
\n" ); document.write( "---------------------------------------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%3C+840+\"$ ( in cents )
\n" ); document.write( "(2) $\"+b+=+3c+\"$
\n" ); document.write( "(3) $\"+d+=+4c+\"$
\n" ); document.write( "-------------
\n" ); document.write( "The number of 17 cent stamps was $\"+3c+\"$ , so I
\n" ); document.write( "can say $\"+%283c%29%2A17+%2B+25c+%3C+840+\"$
\n" ); document.write( " $\"+51c+%2B+25c+%3C+840+\"$
\n" ); document.write( " $\"+c+%3C+840+%2F+76+\"$
\n" ); document.write( " $\"+c+%3C+11+\"$ and a fraction
\n" ); document.write( "-----------------------
\n" ); document.write( "Now I can include the 2 cent stamps
\n" ); document.write( " $\"+%284c%29%2A2+%2B+c%2A25+%2B+%283c%29%2A17+%3C+840+\"$
\n" ); document.write( " $\"+8c+%2B+25c+%2B+51c+%3C+840+\"$
\n" ); document.write( " $\"+84c+%3C+840+\"$
\n" ); document.write( " $\"+c+%3C+10+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "So, the most 25 cent stamps is 9
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+9%2A25+=+225+\"$
\n" ); document.write( " $\"+225+%2B+3%2A9%2A17+%2B+4%2A9%2A2+%3C+840+\"$
\n" ); document.write( " $\"+225+%2B+459+%2B+72+%3C+840+\"$
\n" ); document.write( " $\"+756+%3C+840+\"$
\n" ); document.write( "---------------
\n" ); document.write( "See if this still hold if there is 1 more 25 cent stamp
\n" ); document.write( " $\"+10%2A25+%2B+3%2A10%2A17+%2B+4%2A10%2A2+%3C+840+\"$
\n" ); document.write( " $\"+250+%2B+510+%2B+80+%3C+840+\"$
\n" ); document.write( " $\"+840+%3C+840+\"$
\n" ); document.write( "Not true, so answer is correct\r
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