document.write( "Question 938871: Joe spends $13 on mints and gum. Each mint costs $2, each gum costs $0.50. He purchases three times as many mints as gum. Find the number of mints and gum he purchases? \n" ); document.write( "

Algebra.Com's Answer #572025 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+m+\"$ = number of mints he buys
\n" ); document.write( "Let $\"+g+\"$ = number of gums he buys
\n" ); document.write( "-----------------
\n" ); document.write( "(1) $\"+m+=+3g+\"$
\n" ); document.write( "(2) $\"+2m+%2B+.5g+=+13+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+2%2A%283g%29+%2B+.5g+=+13+\"$
\n" ); document.write( "(2) $\"+6.5g+=+13+\"$
\n" ); document.write( "(2) $\"+g+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+m+=+3g+\"$
\n" ); document.write( "(1) $\"+m+=+3%2A2+\"$
\n" ); document.write( "(1) $\"+m+=+6+\"$
\n" ); document.write( "------------------
\n" ); document.write( "He buys 6 mints and 2 gums
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+2m+%2B+.5g+=+13+\"$
\n" ); document.write( "(2) $\"+2%2A6+%2B+.5%2A2+=+13+\"$
\n" ); document.write( "(2) $\"+12+%2B+1+=+13+\"$
\n" ); document.write( "OK \n" ); document.write( "

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