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# PS teachers

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Senior Manager
Joined: 30 May 2005
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09 Jun 2005, 14:02
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hello
can anyone tell me if my equations are right for this exercise thanks
10. Virginia, Adrienne, and Dennis have taught history for a combined total of 96 years. If Virginia has taught for 9 more years than Adrienne and for 9 fewer years than Dennis, for how many years has Dennis taught?
(A) 23
(B) 32
(C) 35
(D) 41
(E) 44

V number of years virgina has taught
A number of years adrienne has taught
D number of years dennis has taught

V+A+D=96
V+9=A
V=D-9
Director
Joined: 03 Nov 2004
Posts: 865
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09 Jun 2005, 14:11
I will go with B

Your second equation is no good, it says that Adrienne has taught for 9 more years than Viriginia

V + A + D = 96
V = A + 9 => A = V - 9
V = D - 9 -> D = V + 9

So our equation will be V + V - 9 + v + 9 = 96 => 3V = 96 => V = 32
SVP
Joined: 03 Jan 2005
Posts: 2243
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09 Jun 2005, 22:04
V+A+D=96
V=A+9
V=D-9
2V=A+D
3V=96
V=32
D=41
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Re: PS teachers   [#permalink] 09 Jun 2005, 22:04
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