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A worker is hired for 7 days. Each day, he is paid 10 dolla
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02 May 2019, 02:37
02 May 2019, 02:37
Expert Reply
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Question Stats:
91% (01:50) correct
8% (01:46) wrong based on 35 sessions
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A worker is hired for 7 days. Each day, he is paid 10 dollars more than what he is paid for the preceding day of work. The total amount he was paid in the first 4 days of work equaled the total amount he was paid in the last 3 days. What was his starting pay?
(A) 90
(B) 138
(C) 153
(D) 160
(E) 163
(A) 90
(B) 138
(C) 153
(D) 160
(E) 163
Re: A worker is hired for 7 days. Each day, he is paid 10 dolla
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28 Sep 2019, 03:05
28 Sep 2019, 03:05
Lets say he gets paid x dollars on first day. That means from first to seventh day, his amounts per day would be:
x, x+11, x+22, x+33, x+44, x+55, x+66.
Total payment = sum of the above = 7x + 231. This is what we need to find, so basically if we can find 'x', we have the answer
Statement 1. Payment for first four days = payment for last three days
x + x+11 + x+22 + x+33 = x+44 + x+55 + x+66
4x + 66 = 3x + 165
Solving this, x can be found. Sufficient.
Statement 2. Payment for first 3 days = x + x+11 + x+22 = 3x + 33
Payment for last 3 days = x+44 + x+55 + x+66 = 3x + 165
Their difference = (3x+165) - (3x+33) = 132
So the difference between last 3 days of payment and first 3 days of payment will Always remain constant at 132, as per this question. Hence, the given difference of 66 doesn't make sense at all.
I would just treat this statement as Insufficient, though this statement doesn't make sense. (If I am missing something in my approach, please let me know)
x, x+11, x+22, x+33, x+44, x+55, x+66.
Total payment = sum of the above = 7x + 231. This is what we need to find, so basically if we can find 'x', we have the answer
Statement 1. Payment for first four days = payment for last three days
x + x+11 + x+22 + x+33 = x+44 + x+55 + x+66
4x + 66 = 3x + 165
Solving this, x can be found. Sufficient.
Statement 2. Payment for first 3 days = x + x+11 + x+22 = 3x + 33
Payment for last 3 days = x+44 + x+55 + x+66 = 3x + 165
Their difference = (3x+165) - (3x+33) = 132
So the difference between last 3 days of payment and first 3 days of payment will Always remain constant at 132, as per this question. Hence, the given difference of 66 doesn't make sense at all.
I would just treat this statement as Insufficient, though this statement doesn't make sense. (If I am missing something in my approach, please let me know)
Re: A worker is hired for 7 days. Each day, he is paid 10 dolla
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29 Sep 2019, 22:54
29 Sep 2019, 22:54
1
Let x be the amount the worker is paid on the first day.
Day 1: x
Day 2: x + $10
Day 3: x + $20 Note: This is just x + $10 +$10, or in other words, Day 2's total +$10. The following days follow the same pattern.
Day 4: x + $30
Day 5: x + $40
Day 6: x + $50
Day 7: x + $60
Since the first four days' wages equal the last three days' wages, we simply add the first four's wages and set it equal to the last three day's wages, and solve for x.
4x + $60 = 3x +$150
x = $90
Thus, the answer is $90 or choice A.
This question would be more difficult if the number of days was a higher number.
Day 1: x
Day 2: x + $10
Day 3: x + $20 Note: This is just x + $10 +$10, or in other words, Day 2's total +$10. The following days follow the same pattern.
Day 4: x + $30
Day 5: x + $40
Day 6: x + $50
Day 7: x + $60
Since the first four days' wages equal the last three days' wages, we simply add the first four's wages and set it equal to the last three day's wages, and solve for x.
4x + $60 = 3x +$150
x = $90
Thus, the answer is $90 or choice A.
This question would be more difficult if the number of days was a higher number.
