Last week Chris earned x dollars per hour for the first 40 hours worked plus 22 dollars per hour for each hour worked beyond 40 hours. If last week Chris earned a total of 816 dollars by working 48 hours, what is the value of x ?
A. 13
B. 14
C. 15
D. 16
E. 17
D
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AbeNeedsAnswers
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Hi AbeNeedsAnswers,
We're told that Chris earned $X per hour for the first 40 hours worked plus 22 dollars per hour for each hour worked beyond 40 hour and that Chris earned a total of 816 dollars by working 48 hours last week. We're asked for the value of x ?
With the given information, we can create the following equation (and solve):
40X + 8(22) = 816
40X + 176 = 816
40X = 640
X = 16
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
We're told that Chris earned $X per hour for the first 40 hours worked plus 22 dollars per hour for each hour worked beyond 40 hour and that Chris earned a total of 816 dollars by working 48 hours last week. We're asked for the value of x ?
With the given information, we can create the following equation (and solve):
40X + 8(22) = 816
40X + 176 = 816
40X = 640
X = 16
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
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Matt@VeritasPrep
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First option: algebra!
Say Chris worked h hours in all.
Total $ = $40 * x + $22 * (h - 40)
We know h = 48 and total $ = $816, so
816 = 40x + 22*(48 - 40)
816 = 40x + 176
640 = 40x
16 = x
Say Chris worked h hours in all.
Total $ = $40 * x + $22 * (h - 40)
We know h = 48 and total $ = $816, so
816 = 40x + 22*(48 - 40)
816 = 40x + 176
640 = 40x
16 = x
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Matt@VeritasPrep
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Second option: plug in!
Since answer C is in the middle of the answers, we can start there. If it works we're done, and if doesn't we'll know whether to go up (to D) or down (to B).
C = $15, so Chris would make $15*40 + $22*8. That's not enough money, so we need to go UP.
We then try D, and everything works out.
Since answer C is in the middle of the answers, we can start there. If it works we're done, and if doesn't we'll know whether to go up (to D) or down (to B).
C = $15, so Chris would make $15*40 + $22*8. That's not enough money, so we need to go UP.
We then try D, and everything works out.
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Scott@TargetTestPrep
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We can create the equation:AbeNeedsAnswers wrote:Last week Chris earned x dollars per hour for the first 40 hours worked plus 22 dollars per hour for each hour worked beyond 40 hours. If last week Chris earned a total of 816 dollars by working 48 hours, what is the value of x ?
A. 13
B. 14
C. 15
D. 16
E. 17
40x + 22(48 - 40) = 816
40x + 22(8) = 816
40x + 176 = 816
40x = 640
x = 16
Answer: D
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