Problema Solution
A crew consist of 1 apprentice, 1 journeyman, and 1 master carpenter. The crew receives a check for $4000. the journeyman makes 200% of what a apprentice makes and a master makes 250% of what a journeyman makes. how much does each person make?
Answer provided by our tutors
let
a = the money the apprentice gets
j = the money the journeyman gets
c = the money the carpenter gets
The crew receives a check for $4000:
a + j + c = 4000
the journeyman makes 200% of what a apprentice makes:
j = 2a
the master carpenter makes 250% of what a journeyman makes:
c = 2.5j
by solving the system of equations:
a + j + c = 4000
j = 2a
c = 2.5j
we find:
a = $500
j = $1,000
c = $2,500
click here to see the step by step solution of the system of equations:
the apprentice makes $500, the journeyman makes $1,000 and the carpenter makes $2,500.