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A crew consists of 1​ apprentice, 1​ journeyman, and 1 master carpenter. The crew receives a check for ​$4800 for a job they just finished. A journeyman makes 200​% of what an apprentice​ makes, and a master makes 150​% of what a journeyman makes. How much does each person on the crew​ earn?

Respuesta :

2134jenny

Answer:

Apprentice=$800

Journeyman=$1600

Master=$2400

Step-by-step explanation:

We have that all the crew won a total of $4800 then it is the salary of the apprentice, the journeyman and the master carpenter. It say that the journeyman makes 200% of the apprentice, then it means that the journeyman won the double of the apprentice. The master won 150% of what a journeyman, it means that the master won 1.5 of the salary of the journeyman.

With this information we can write the next set of equations.

[tex]A+J+M=\$4800\\J=2A\\M=1.5J[/tex]

Using the second equation in the third equation we can know how much won the master in terms of the salary of the apprentice, then:

[tex]M=1.5J\\M=1.5(2A)\\M=3A[/tex]

With this we could rewrite the first equation as:

[tex]A+J+M=\$4800\\A+2A+3A=\$4800\\6A=\$4800\\A=\dfrac{\$4800}{6}\\A=\$800[/tex]

Then the aprentice earn $800, the journeyman $1600 and the master $2400

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