document.write( "Question 297444: Hot chocolate sells for $.75 and coffee sells for $.50 at a football game. If they sold $200 worth of hot drinks and used 295 cups, how many of each drink did they sell? \n" ); document.write( "

Algebra.Com's Answer #214201 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"h\"$ = number of hot chocolates sold
\n" ); document.write( "Let $\"c\"$ = number of coffees sold
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"h+%2B+c+=+295\"$
\n" ); document.write( "(2) $\".75h+%2B+.5c+=+200\"$
\n" ); document.write( "Multiply both sides of (1) by $\".5\"$
\n" ); document.write( "and subtract from (2)
\n" ); document.write( " $\".75h+%2B+.5c+=+200\"$
\n" ); document.write( " $\"-+.5h+-+.5c+=+-+147.5\"$
\n" ); document.write( " $\".25h+=+52.5\"$
\n" ); document.write( " $\"h+=+210\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"h+%2B+c+=+295\"$
\n" ); document.write( " $\"c+=+295+-+210\"$
\n" ); document.write( " $\"c+=+85\"$
\n" ); document.write( "They sold 210 hot chocolates and 85 coffees
\n" ); document.write( "check:
\n" ); document.write( "(2) $\".75h+%2B+.5c+=+200\"$
\n" ); document.write( "(2) $\".75%2A210+%2B+.5%2A85+=+200\"$
\n" ); document.write( " $\"157.5+%2B+42.5+=+200\"$
\n" ); document.write( " $\"200+=+200\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
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