SOLUTION: A crew receives a check for $8050 for a job they just finished. A journeyman makes 300% of what an apprentice makes, and a master makes 250% of what a journeyman makes. How much do

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A crew receives a check for $8050 for a job they just finished. A journeyman makes 300% of what an apprentice makes, and a master makes 250% of what a journeyman makes. How much do      Log On


   



Question 1101489: A crew receives a check for $8050 for a job they just finished. A journeyman makes 300% of what an apprentice makes, and a master makes 250% of what a journeyman makes. How much does each person earn?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
w,        the wage rate of the apprentice
3w,       rate for journeyman
2.5*3w,   rate for master

w%2B3w%2B7.5w=8050----solve for w and evaluate the other expressions.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount earned for this job for apprentice
+3x+ = amount earned for this job for journeyman
+2.5%2A3x+ = amount earned for this job by master
---------------------------------------------------
+x+%2B+3x+%2B+7.5x+=+8050+
+11.5x+=+8050+
+x+=+700+
and
+3x+=+2100+
+7.5x+=+5250+
-----------------
Apprentice makes $700
Journeyman makes $2,100
Master makes $5,250
---------------------------
check:
+700+%2B+2100+%2B+5250+=+8050+
+8050+=+8050+
OK