SOLUTION: A crew consists of 1 apprentice, 1 journeyman, and 1 master carpenter. The crew revives a check for $6400 for a job they just finished. A journeyman makes 200% of what an apprentic

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Question 852965: A crew consists of 1 apprentice, 1 journeyman, and 1 master carpenter. The crew revives 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 the journeyman makes. How much does each person on the crew make?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = how much apprentice makes
Let +j+ = how much journeyman makes
Let +m+ = how much master carpenter makes
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(1) +j+=+2a+
(2) +m+=+2.5j+
(3) +a+%2B+j+%2B+m+=+6400+
-------------------------
This is 3 equations and 3 unknowns, so it's solvable
(1) +a+=+%281%2F2%29%2Aj+
Substitute (1) and (2) into (3)
(3) +a+%2B+j+%2B+m+=+6400+
(3) +%281%2F2%29%2Aj+%2B+j+%2B+2.5j+=+6400+
(3) +4j+=+6400+
(3) +j+=+1600+
and
(1) +a+=+%281%2F2%29%2Aj+
(1) +a+=+800+
and
(2) +m+=+2.5j+
(2) +m+=+2.5%2A1600+
(2) +m+=+4000+
---------------------
The apprentice makes $800
The journeyman makes $1,600
The master carpenter makes $4,000
check:
(3) +a+%2B+j+%2B+m+=+6400+
(3) +800+%2B+1600+%2B+4000+=+6400+
(3) +6400+=+6400+
OK