SOLUTION: Mr. Berg, who works twice as fast as Mr. Slocum receives s hourly rate of p[ay 1 1/2 times as much as Mr.Slocum. An efficiency expert calculatethat an article produced by Mr.Berg h

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Mr. Berg, who works twice as fast as Mr. Slocum receives s hourly rate of p[ay 1 1/2 times as much as Mr.Slocum. An efficiency expert calculatethat an article produced by Mr.Berg h      Log On


   



Question 105378: Mr. Berg, who works twice as fast as Mr. Slocum receives s hourly rate of p[ay 1 1/2 times as much as Mr.Slocum. An efficiency expert calculatethat an article produced by Mr.Berg has a labor cost of 12 cents. what is the labor cost in cents of an articleproduced by Mr.Solcum?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Mr. Berg, who works twice as fast as Mr. Slocum receives s hourly rate of pay 1 1/2 times as much as Mr.Slocum. An efficiency expert calculates that an article produced by Mr.Berg has a labor cost of 12 cents. what is the labor cost in cents of an article produced by Mr.Slocum?
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s much so let the cost for him = .5x
To understand what's going on, let's assume some numbers here:
Say that B produces 100 items per hr @.12 per item, his pay should be $12/hr
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Since B makes 1.5 times S, then S's pay 12/1.5 = $8/hr
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S only produces 50 of these item
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At $8/hr the cost of his items: 8/50 = $0.16 is the labor cost for S
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We should be able to do this by ratio (which is probably what they want)
Pay ratio = items ratio; S:B pay would be 1:1.5 or 2:3,
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If they both made the same number of items we would have;
:2%2F3 = x%2F.12
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Cross multiply
3*x = 2 * .12
3x = .24
x = .24/3
x = .08 cost per item, however he produced half as many as B did; that would
double the cost, so actually it would be $.16 per item as we found above.
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