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12 May 2022, 03:00
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
93% (02:17) correct
7%
(02:51)
wrong
based on 14
sessions
History
Date
Time
Result
Not Attempted Yet
A company paid $500,000 in merit raises to employees whose performances were rated A, B, or C. Each employee rated A received twice the amount of the raise that was paid to each employee rated C; and each employee rated B received one-and-a-half times the amount of the raise that was paid to each employee rated C. If 50 workers were rated A, 100 were rated B, and 150 were rated C, how much was the raise paid to each employee rated A ?
A. $370
B. $625
C. $740
D. $1,250
E. $2,500
A. $370
B. $625
C. $740
D. $1,250
E. $2,500
12 May 2022, 06:29
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I'm normally a big fan of plugging in the answers instead of doing the Algebra, but the numbers on this one look like they are going to get a bit unwieldy, so let's do the Algebra.
Let's make C equal to the amount of the raise given to C-rated employees. The sum of the raises for C-rated employees is 150*C.
The raise amount for B-rated employees is 1.5C, so the sum of the raises for B-rated employees is 100*(1.5C), which is 150C.
The raise amount for A-rated employees is 2C, so the sum of the raises for A-rated employees is 50*(2C), which is 100C.
So all three groups' combined raises are 150C + 150C + 100C, or 400C. All three groups' combined raises are also $500,000. So, 400C=500000, making C=1250 (trap answer alert...don't get all the way here and then pick answer choice D!!).
The question asks for the A-rated raise. That's twice the C-rated raise, so we want $2500.
Answer choice E.
Let's make C equal to the amount of the raise given to C-rated employees. The sum of the raises for C-rated employees is 150*C.
The raise amount for B-rated employees is 1.5C, so the sum of the raises for B-rated employees is 100*(1.5C), which is 150C.
The raise amount for A-rated employees is 2C, so the sum of the raises for A-rated employees is 50*(2C), which is 100C.
So all three groups' combined raises are 150C + 150C + 100C, or 400C. All three groups' combined raises are also $500,000. So, 400C=500000, making C=1250 (trap answer alert...don't get all the way here and then pick answer choice D!!).
The question asks for the A-rated raise. That's twice the C-rated raise, so we want $2500.
Answer choice E.
