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Smiths yearly remuneration is $20,000 more than Jacks yearly remuner
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03 Nov 2023, 09:14
03 Nov 2023, 09:14
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Question Stats:
66% (01:41) correct
33% (01:18) wrong based on 18 sessions
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Smith’s yearly remuneration is $20,000 more than Jack’s yearly remuneration, but is less than $40,000.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Smith’s yearly remuneration |
Twice of Jack’s yearly remuneration |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: Smiths yearly remuneration is $20,000 more than Jacks yearly remuner
[#permalink]
11 Nov 2023, 05:54
11 Nov 2023, 05:54
2
Let S denote Smith's earnings, and let J denote Jack's earnings.
QA is therefore S, and QB is 2J.
We know from stem that S=20,000+J
QA can be written as 20,000+J
Notice that J is common to QB and QA, so subtract it out.
Now QA is 20,000 and QB is J.
Notice that the stem also tells us that Smith's compensation is less than 40,000.
So we know that 20,000+J<40,0000
J<20,000
The above answers our questions, telling us that QA must be greater.
A.
QA is therefore S, and QB is 2J.
We know from stem that S=20,000+J
QA can be written as 20,000+J
Notice that J is common to QB and QA, so subtract it out.
Now QA is 20,000 and QB is J.
Notice that the stem also tells us that Smith's compensation is less than 40,000.
So we know that 20,000+J<40,0000
J<20,000
The above answers our questions, telling us that QA must be greater.
A.
Re: Smiths yearly remuneration is $20,000 more than Jacks yearly remuner
[#permalink]
24 Nov 2023, 03:54
24 Nov 2023, 03:54
1
Let S be Smith yearly numeration and J be Jacks yearly numeration
S = J +20,000
S<40,000 implies
J+20,000 <40,000
J < 40,000-20,000
J < 20,000
say J = 19,999 Then 2J = 39,998
S = J+20,000=19,999+20,000 = 39,999
S is greater than 2J
Answer A
S = J +20,000
S<40,000 implies
J+20,000 <40,000
J < 40,000-20,000
J < 20,000
say J = 19,999 Then 2J = 39,998
S = J+20,000=19,999+20,000 = 39,999
S is greater than 2J
Answer A
