# Answer to Question #3271 in Abstract Algebra for Michelle

Question #3271

A team of three men receive a check for $9200. The Journeymen makes 300% more than what the Apprentice makes and the Master Craftmen makes 250% more of what the Journeymen makes. How much does each man make?

Expert's answer

Let's denote the amount of& money for Apprentice as X,

hence the Journeymen receives (100% + 300%)/100% X = X + 3 X = 4 X,

and the Master Craftmen gets (100% + 250%)/100% * (4X) = 3.5 * 4X = 14X.

Since the team receives $9200, X + 4X + 14X = 19X = $9200

X = 9200/19 = $484.21.

The Apprentice makes $484.21, the Journeymen makes $1936.84, the Master Craftmen -& $6778.95.

hence the Journeymen receives (100% + 300%)/100% X = X + 3 X = 4 X,

and the Master Craftmen gets (100% + 250%)/100% * (4X) = 3.5 * 4X = 14X.

Since the team receives $9200, X + 4X + 14X = 19X = $9200

X = 9200/19 = $484.21.

The Apprentice makes $484.21, the Journeymen makes $1936.84, the Master Craftmen -& $6778.95.

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