document.write( "Question 913525: Maggie makes some fruit punch. She mixes 2 1/2 quarts of grape juice with 1 1/2 quarts of orange juice. One quart of grape juice cost $1 less than one quart of orange juice. She finds that the total cost of making the fruit punch is $12.50. Calculate the cost of each quart of grape juice and each quart of orange juice. \n" ); document.write( "

Algebra.Com's Answer #554576 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
In words:
\n" ); document.write( "( quarts ) x ( price / quart ) = total price
\n" ); document.write( "--------------
\n" ); document.write( "Let $\"+p+\"$ = price/quart of orange juice
\n" ); document.write( " $\"+p+-+1+\"$ = price/quart of grape juice
\n" ); document.write( "--------------
\n" ); document.write( " $\"+1.5p+%2B+2.5%2A%28+p+-+1+%29+=+12.5+\"$
\n" ); document.write( " $\"+1.5p+%2B+2.5p+-+2.5+=+12.5+\"$
\n" ); document.write( " $\"+4p+=+12.5+%2B+2.5+\"$
\n" ); document.write( " $\"+4p+=+15+\"$
\n" ); document.write( " $\"+p+=+3.75+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+p+-+1+=+2.75+\"$
\n" ); document.write( "----------------
\n" ); document.write( "The price/quart of orange juice is $3.75
\n" ); document.write( "The price/quart of grape juice $2.75
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1.5p+%2B+2.5%2A%28+p+-+1+%29+=+12.5+\"$
\n" ); document.write( " $\"+1.5%2A3.75+%2B+2.5%2A2.75+=+12.5+\"$
\n" ); document.write( " $\"+5.625+%2B+6.875+=+12.5+\"$
\n" ); document.write( " $\"+12.5+=+12.5+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );