SOLUTION: A crew consists of one apprentice, one journeyman, and one master carpenter. The crew receives a check for $6400 for a job they just finished. A journeyman makes 200% of what an ap

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Question 766666: A crew consists of one apprentice, one journeyman, and one master carpenter. The crew receives a check for $6400 for a job they just finished. A journeyman makes 200% of what an apprentice makes, and a master makes 250% of what a journeyman makes. How much does each receive.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
A crew consists of one apprentice, one journeyman, and one master carpenter. The crew receives a check for $6400 for a job they just finished. A journeyman makes 200% of what an apprentice makes, and a master makes 250% of what a journeyman makes. How much does each receive.
Let $x = the amount the apprentice makes.

>>A journeyman makes 200% of what an apprentice makes<<
The journeyman makes 200% of x, which is 2x

>>a master makes 250% of what a journeyman makes<<
The master makes 250% of 2x, which is 2.5(2x) = 5x

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x + 2x + 5x = 6400
         8x = 6400
          x = 800

So the apprentics makes $800

The journeyman makes 2x, which is 2($800) = $1600

The master makes 5x, which is $4000.

Edwin