document.write( "Question 1049253: Nature drinks wants to combine orange juice they sell for $0.09 per ounce with guava juice they sell for $0.14 per ounce to create an orange-guava drink. How many ounces of orange juice should they use to create a 16-ounce drink that would sell for $1.74? \n" ); document.write( "

Algebra.Com's Answer #664812 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = ounces of orange juice needed
\n" ); document.write( "Let $\"+b+\"$ = ounces of guava juice needed
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+16+\"$
\n" ); document.write( "(2) $\"+.09a+%2B+.14b+=+1.74+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "(2) $\"+9a+%2B+14b+=+174+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+9+\"$ and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) $\"+9a+%2B+14b+=+174+\"$
\n" ); document.write( "(1) $\"+-9a+-+9b+=+-144+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( " $\"+5b+=+30+\"$
\n" ); document.write( " $\"+b+=+6+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+6+=+16+\"$
\n" ); document.write( "(1) $\"+a+=+10+\"$
\n" ); document.write( "10 ounces of orange juice is needed
\n" ); document.write( "------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+.09a+%2B+.14b+=+1.74+\"$
\n" ); document.write( "(2) $\"+.09%2A10+%2B+.14%2A6+=+1.74+\"$
\n" ); document.write( "(2) $\"+.9+%2B+.84+=+1.74+\"$
\n" ); document.write( "(2) $\"+1.74+=+1.74+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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