A crew consists of 1 apprentice, 1 journeyman, and 1 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 carpenter makes 250% of what a journeyman makes. How much does each person on the crew earn?

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Mathematics

12 May, 02:53

A crew consists of 1 apprentice, 1 journeyman, and 1 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 carpenter makes 250% of what a journeyman makes. How much does each person on the crew earn?

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Myla Haney · Answer 1

Apprentice = $800

Journeyman = $1600

carpenter = $4000

Step-by-step explanation:

Let the apprentice earns X dollars.

Then,

Journeyman will make 200% of apprentice's earning which is 2X.

Also,

Carpenter makes 250% of the earning that journeyman makes.

Which is 2.5 (2X) = 5X

Their total earning should come to $6400.

Thus,

X + 2X + 5X = 6400

8X = 6400.

X = $800

So,

Earning of apprentice = X = $800

Earning of Journeyman = 2X = $1600

Earning of carpenter = 5X = $4000