SOLUTION: 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 a

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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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = amount of the high school contract
Let +b+ = amount of the stadium contract
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(1) +a+%2B+b+=+4700000+
(2) +.05a+%2B+.04b+=+223000+
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(2) +5a+%2B+4b+=+22300000+
Multiply both sides of (1) by +4+
and subtract (1) from (2)
(2) +5a+%2B+4b+=+22300000+
(1) +-4a+-+4b+=+-18800000+
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+a+=+3500000+
and
(1) +a+%2B+b+=+4700000+
(1) +3500000+%2B+b+=+4700000+
(1) +b+=+1200000+
The amount of the high school contract was $3.5 million
The amount of the stadium contract was $1.2 million
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check:
(2) +.05a+%2B+.04b+=+223000+
(2) +.05%2A3500000+%2B+.04%2A1200000+=+223000+
(2) +175000+%2B+48000+=+223000+
(2) +223000+=+223000+
OK