document.write( "Question 1016982: Gonzales Construction contracted Kentwood High and Memorial Stadium for a total cost of $4.7 million. Because the construction was not completed on time, Gonzales paid 5% of the amount of the high school contract in penalties and 4% of the amount of the stadium contract in penalties. If the total penalty was $223,000, then what was the amount of each contract? \n" ); document.write( "

Algebra.Com's Answer #633315 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = amount of the high school contract
\n" ); document.write( "Let $\"+b+\"$ = amount of the stadium contract
\n" ); document.write( "----------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+4700000+\"$
\n" ); document.write( "(2) $\"+.05a+%2B+.04b+=+223000+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) $\"+5a+%2B+4b+=+22300000+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+4+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5a+%2B+4b+=+22300000+\"$
\n" ); document.write( "(1) $\"+-4a+-+4b+=+-18800000+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( " $\"+a+=+3500000+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+4700000+\"$
\n" ); document.write( "(1) $\"+3500000+%2B+b+=+4700000+\"$
\n" ); document.write( "(1) $\"+b+=+1200000+\"$
\n" ); document.write( "The amount of the high school contract was $3.5 million
\n" ); document.write( "The amount of the stadium contract was $1.2 million
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+.05a+%2B+.04b+=+223000+\"$
\n" ); document.write( "(2) $\"+.05%2A3500000+%2B+.04%2A1200000+=+223000+\"$
\n" ); document.write( "(2) $\"+175000+%2B+48000+=+223000+\"$
\n" ); document.write( "(2) $\"+223000+=+223000+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );