document.write( "Question 1030048: 30 hours a week. Job A pays $5.90 per hour, and Job B pays $7.20 per hour. How many hours did she work at each job the week that she made $193.90? \n" ); document.write( "

Algebra.Com's Answer #644949 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = hrs worked at job A
\n" ); document.write( "Let $\"+b+\"$ = hrs worked at job B
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+30+\"$
\n" ); document.write( "(2) $\"+5.9a+%2B+7.2b+=+193.9+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) $\"+59a+%2B+72b+=+1939+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+59+\"$ and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) $\"+59a+%2B+72b+=+1939+\"$
\n" ); document.write( "(1) $\"+-59a+-+59b+=+-1770+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( " $\"+13b+=+169+\"$
\n" ); document.write( " $\"+b+=+13+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+13+=+30+\"$
\n" ); document.write( "(1) $\"+a+=+17+\"$
\n" ); document.write( "------------------
\n" ); document.write( "She worked 17 hrs at job A and 13 hrs at job B
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5.9a+%2B+7.2b+=+193.9+\"$
\n" ); document.write( "(2) $\"+5.9%2A17+%2B+7.2%2A13+=+193.9+\"$
\n" ); document.write( "(2) $\"+100.3+%2B+93.6+=+193.9+\"$
\n" ); document.write( "(2) $\"+193.9+=+193.9+\"$
\n" ); document.write( "OK \n" ); document.write( "

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