document.write( "Question 176135: Hershey has 202 pesos in 5 pesos,1 peso and 10 pesos. She has three times as many as 1 peso as 5 pesos and 5 more 10 pesos than 1 peso. How many coins of each kind has she? \n" ); document.write( "

Algebra.Com's Answer #131240 by Fombitz(32388) $\"\"$ $\"About$

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Let O be the number of one peso coins.
\n" ); document.write( "Let F be the number of five peso coins.
\n" ); document.write( "Let T be the number of ten peso coins.
\n" ); document.write( "\"Hershey has 202 pesos\"
\n" ); document.write( "1. $\"O%2B5F%2B10T=202\"$
\n" ); document.write( "\"three times as many as 1 peso as 5 pesos\"
\n" ); document.write( "2. $\"O=3%2AF\"$
\n" ); document.write( "\"5 more 10 pesos than 1 peso\"
\n" ); document.write( "3. $\"T=O%2B5\"$
\n" ); document.write( "or using eq. 2,
\n" ); document.write( "3. $\"T=3%2AF%2B5\"$
\n" ); document.write( "Use 2 and 3 and substitute into 1 and solve for F.
\n" ); document.write( "1. $\"O%2B5F%2B10T=202\"$
\n" ); document.write( " $\"3F%2B5F%2B10%283F%2B5%29=202\"$
\n" ); document.write( " $\"3F%2B5F%2B30F%2B50=202\"$
\n" ); document.write( " $\"38F=152\"$
\n" ); document.write( " $\"F=4\"$
\n" ); document.write( "From 2,
\n" ); document.write( "2. $\"O=3%2AF\"$
\n" ); document.write( " $\"O=3%2A4\"$
\n" ); document.write( " $\"O=12\"$
\n" ); document.write( "From 3,
\n" ); document.write( "3. $\"T=3%2AF%2B5\"$
\n" ); document.write( " $\"T=3%2A4%2B5\"$
\n" ); document.write( " $\"T=17\"$
\n" ); document.write( "Hershey has 12 ones, 4 fives, and 17 tens. \n" ); document.write( "

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