document.write( "Question 552670: At your lemonade stand you charge .50 for a half cup and .75 for a full cup. At the end of the day, you see 12 cups were used and you made $8.00. How many of each size of drink did you ssll \n" ); document.write( "

Algebra.Com's Answer #360451 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"f\"$ = number of full cups sold
\n" ); document.write( "Let $\"h\"$ = number of half cups sold
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+h+%2B+f+=+12+\"$
\n" ); document.write( "(2) $\".5h+%2B+.75f+=+8+\"$
\n" ); document.write( "---------------
\n" ); document.write( "(2) $\"+50h+%2B+75f+=+800+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+50+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+50h+%2B+75f+=+800+\"$
\n" ); document.write( "(1) $\"+-50h+-+50f+=+-600+\"$
\n" ); document.write( " $\"+25f+=+200+\"$
\n" ); document.write( " $\"+f+=+8+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+h+%2B+8+=+12+\"$
\n" ); document.write( "(1) $\"+h+=+4+\"$
\n" ); document.write( "You sold 4 half cups and 8 full cups \n" ); document.write( "

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