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24 Jan 2024, 01:37
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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84% (01:26) correct
16%
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For a remodeling project, a contractor charges a certain hourly rate for skilled labor and a lesser hourly rate for unskilled labor. What is the total amount charged by the contractor for 50 hours of skilled labor and 70 hours of unskilled labor on this remodeling project?
(1) The hourly rate charged by the contractor for unskilled labor is 30 percent less than the hourly rate charged by the contractor for skilled labor.
(2) The hourly rate charged by the contractor for unskilled labor is $18 less than the hourly rate charged by the contractor for skilled labor.
2024-01-24_12-34-39.png [ 74.75 KiB | Viewed 5077 times ]
(1) The hourly rate charged by the contractor for unskilled labor is 30 percent less than the hourly rate charged by the contractor for skilled labor.
(2) The hourly rate charged by the contractor for unskilled labor is $18 less than the hourly rate charged by the contractor for skilled labor.
Attachment:
2024-01-24_12-34-39.png [ 74.75 KiB | Viewed 5077 times ]
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26 Jan 2024, 18:21
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guddo
Let \(x\) be the hourly rate for skilled labor.
Let \(y\) be the hourly rate for unskilled labor.
We need \(50x+70y\)...(i)
(1) The hourly rate charged by the contractor for unskilled labor is 30 percent less than the hourly rate charged by the contractor for skilled labor.
\(y = .7x\)
\(50x + 70* .7x \)... substituing the value of \(y\) in \((i)\)
We do not know \(x.\)
INSUFF.
(2) The hourly rate charged by the contractor for unskilled labor is $18 less than the hourly rate charged by the contractor for skilled labor.
\(y = x-18 \)
\(50x + 70 (x-18)\) ... substituing the value of \(y\) in \((i)\)
We do not know \(x.\)
INSUFF.
\(1+2\)
\(.3x=18\)
\(x=60\) therefore \(y = 42\)
Therefore we can answer the prompt \(50x+70y\)
SUFF.
Ans C
Hope it helped.
28 Jan 2024, 12:59
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guddo
- Rate of skilled Labor = \(\frac{$S }{ \text{hour}}\)
- Rate of unskilled Labor = \(\frac{$U }{ \text{hour}}\)
Given: \(U < S\)
Question: \(50S + 70U =\) ?
Statement 1
(1) The hourly rate charged by the contractor for unskilled labor is 30 percent less than the hourly rate charged by the contractor for skilled labor.
U = 0.7S
However, as we do not know the value of S, we can't find the total value i.e. the value of 50S + 70U. Hence, the statement alone is not sufficient.
Eliminate A and D.
Statement 2
(2) The hourly rate charged by the contractor for unskilled labor is $18 less than the hourly rate charged by the contractor for skilled labor.
S - U = 18
However, as we do not know the value of S, we can't find the total value i.e. the value of 50S + 70U. Hence, the statement alone is not sufficient.
Eliminate B.
Combined
From Statement 1, we know that the hourly rate charged by the contractor for unskilled labor is 30 percent less than the hourly rate charged by the contractor for skilled labor. From statement 2, we know the difference between the hourly rate charged by the contractor for unskilled labor and the hourly rate charged by the contractor for skilled labor is $18.
Hence, 30% of the hourly rate of the skilled labor = $18
\(0.3 S = 18\)
\(S = 60\)
The statements combined help us obtain the value of \(S\). Using the information of either Statement we can find the value of U. As the values of S and U can be obtained, we can also find the value of \(50S + 70U\).
The statements combined help.
Option C
