SOLUTION: A crew consists of 1 apprentice, 1 journeyman, and 1 master carpenter. The crew receives a check for $5100 for a job they finished. A journeyman makes 300% of what an apprentice ma
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Question 475944: A crew consists of 1 apprentice, 1 journeyman, and 1 master carpenter. The crew receives a check for $5100 for a job they finished. A journeyman makes 300% of what an apprentice makes and a master carpenter makes make 150% of what a journeyman makes. How much does each person on the crew earn?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = apprentices earnings
Let = journeyman's earnings
Let = master carpenter's earnings
given:
(1)
(2)
(3)
This is 3 equations and 3 unknowns,
so it's solvable
-------------------
(2)
(2)
Substitute (2) and (3) into (1)
(1)
(1)
Multiply both sides by
(1)
(1)
(1)
and,
(2)
(2)
and,
(3)
(3)
(3)
$600 = apprentices earnings
$1800 = journeyman's earnings
$2700 = master carpenter's earnings
check:
OK
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