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

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CEO
Joined: 21 Jan 2007
Posts: 2734

Kudos [?]: 1050 [0], given: 4

Location: New York City
Jim made \$80 in 3 weeks. 1st weeks savings = 1/2 of week [#permalink]

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15 Oct 2007, 13:46
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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?

Kudos [?]: 1050 [0], given: 4

Director
Joined: 08 Jun 2007
Posts: 575

Kudos [?]: 109 [0], given: 0

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15 Oct 2007, 14:01
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

Kudos [?]: 109 [0], given: 0

Director
Joined: 31 Mar 2007
Posts: 574

Kudos [?]: 80 [0], given: 0

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15 Oct 2007, 16:36
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

Kudos [?]: 80 [0], given: 0

VP
Joined: 09 Jul 2007
Posts: 1098

Kudos [?]: 141 [0], given: 0

Location: London

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15 Oct 2007, 20:32
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

Kudos [?]: 141 [0], given: 0

Director
Joined: 03 May 2007
Posts: 867

Kudos [?]: 265 [0], given: 7

Schools: University of Chicago, Wharton School

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15 Oct 2007, 22:31
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?

Kudos [?]: 265 [0], given: 7

CEO
Joined: 21 Jan 2007
Posts: 2734

Kudos [?]: 1050 [0], given: 4

Location: New York City

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21 Oct 2007, 21:16
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.

Kudos [?]: 1050 [0], given: 4

Director
Joined: 03 May 2007
Posts: 867

Kudos [?]: 265 [0], given: 7

Schools: University of Chicago, Wharton School

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21 Oct 2007, 21:47
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.

Kudos [?]: 265 [0], given: 7

Re: PS algebra   [#permalink] 21 Oct 2007, 21:47
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