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Jim made $80 in 3 weeks. 1st weeks savings = 1/2 of week

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CEO
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Jim made $80 in 3 weeks. 1st weeks savings = 1/2 of week [#permalink] New post 15 Oct 2007, 12:46
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Jim made $80 in 3 weeks.
1st weeks savings = 1/2 of week two's savings
1st weeks savings = 1/3 of week three's savings

how do i set this up algebraically to solve for earnings in week 2?
Director
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Re: PS algebra [#permalink] New post 15 Oct 2007, 13:01
bmwhype2 wrote:
Jim made $80 in 3 weeks.
1st weeks savings = 1/2 of week two's savings
1st weeks savings = 1/3 of week three's savings

how do i set this up algebraically to solve for earnings in week 2?


Assume x y z for three weeks

x = y/2
x = z/3 => z = 3y/2

x + y + z = 80

y/2 + y + 3y/2 = 80
Director
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 [#permalink] New post 15 Oct 2007, 15:36
I did it the same way

usually just start assigning variables right away and write out as many equations as you can then see if you can work anything out

so what i'd do is instantly go 3 weeks boom X,Y,Z

now X+Y+Z = 80

X=1/2Y
X=1/3Z

solving for Y so plug in X=1/2Y into your original equation

so you have 1/2Y + Y + Z = 80

now to get Z interms of Y, observe two formulas, set them equal...

1/2Y = 1/3Z

multiply out by 3

3/2Y = Z

sub it back in

1/2Y + Y + 3/2Y = 80

3Y = 80
Y = 26.66... ~= 26.67


so just set up as many equations asap then work it out
VP
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Re: PS algebra [#permalink] New post 15 Oct 2007, 19:32
bmwhype2 wrote:
Jim made $80 in 3 weeks.
1st weeks savings = 1/2 of week two's savings
1st weeks savings = 1/3 of week three's savings

how do i set this up algebraically to solve for earnings in week 2?


x y and z

x
x=1/2y----> y=2x
x=1/3z-----> z=3x

x+2x+3x=80
6x=80
x=40/3

y=2*40/3
Director
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Re: PS algebra [#permalink] New post 15 Oct 2007, 21:31
bmwhype2 wrote:
Jim made $80 in 3 weeks.
1st weeks savings = 1/2 of week two's savings
1st weeks savings = 1/3 of week three's savings

how do i set this up algebraically to solve for earnings in week 2?


not solvable...


May be you mean earnings = savings. hmmmm savings cannot be equal to earnings.

can you make sure that the question is not so vauge?
CEO
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Re: PS algebra [#permalink] New post 21 Oct 2007, 20:16
Fistail wrote:
bmwhype2 wrote:
Jim made $80 in 3 weeks.
1st weeks savings = 1/2 of week two's savings
1st weeks savings = 1/3 of week three's savings

how do i set this up algebraically to solve for earnings in week 2?


not solvable...


May be you mean earnings = savings. hmmmm savings cannot be equal to earnings.

can you make sure that the question is not so vauge?


lol. sorry. should have picked that up, being that i am a banker.
Director
Director
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Joined: 03 May 2007
Posts: 899
Schools: University of Chicago, Wharton School
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Re: PS algebra [#permalink] New post 21 Oct 2007, 20:47
bmwhype2 wrote:
Fistail wrote:
bmwhype2 wrote:
Jim made $80 in 3 weeks.
1st weeks savings = 1/2 of week two's savings
1st weeks savings = 1/3 of week three's savings

how do i set this up algebraically to solve for earnings in week 2?


not solvable...


May be you mean earnings = savings. hmmmm savings cannot be equal to earnings.

can you make sure that the question is not so vauge?


lol. sorry. should have picked that up, being that i am a banker.



Okie. not a problem.

read this one after 2 years (in 2009): i am also a banker. :wink:
Re: PS algebra   [#permalink] 21 Oct 2007, 20:47
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Jim made $80 in 3 weeks. 1st weeks savings = 1/2 of week

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