Bunuel wrote
Quote:
Last week Jack worked 70 hours and earned $ 1,260. If he earned his regular hourly wage for the first 40 hours worked, 3/2 times his regular hourly wage for the next 20 hours worked, and 2 times his regular hourly wage for the remaining 10 hours worked, what was his regular hourly wage?
A. $ 7.00
B. $ 14.00
C. $ 18.00
D. $ 22.00
E. $ 31.50
Saumya2403 wrote:
Hi, Can somebody solve this question backward by considering answer choices.
Saumya2403 : Sure.
Start with C. Answer choices' numbers are in ascending order, we'll get a benchmark, and C is a round number. Answer C says
regular wage is $ 18.00
per hourIf $ 18.00 is Jack's regular wage per hour:
1. For first block of 40 hours he earns the regular wage:
$18/hour * 40 hrs = $720
2. For the second block of 20 hours he earns "3/2 times his regular hourly wage":
\(\frac{3}{2}\) * $18 = $27 per hour for the second block of 20 hours
$27/hour * 20 hrs = $540
3. For the final block of 10 hours he earns two times his regular hourly wage:
2 * $18 = $36 per hour for the final block of 10 hours
$36/hour * 10 hrs = $360
4. Add the totals for each time block to get total amount of money earned, which prompt says is $1,260.
$720 + $540 + $360 = $1,620. Not a match.
So $18.00 an hour as regular hourly wage is too high. Because D and E are even higher, eliminate C, D, and E
Answer A would be a drastic decrease per hour. Try B = $14.00 an hour for regular wage
1. First 40 hours at regular wage:
$14/hr * 40 hrs = $560
2. Second block of 20 hours at \(\frac{3}{2}\) times regular wage:
\(\frac{3}{2}\) * $14 = $21/hr
($21/hr * 20 hrs) = $420
3. Final block of 10 hours at 2 times regular wage:
$14 * 2 = $28/hr
($28/hr * 10 hrs) = $280
Add the money totals for the three blocks of time: $560 + 420 + $280 = $1,260. Correct.
Answer B
Does that help?
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