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# If the recommended weight w, in pounds, for a male is given in terms..

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Intern
Joined: 17 Jan 2016
Posts: 10
If the recommended weight w, in pounds, for a male is given in terms..  [#permalink]

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06 May 2016, 09:20
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Difficulty:

35% (medium)

Question Stats:

71% (01:24) correct 29% (01:30) wrong based on 262 sessions

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If the recommended weight $$w$$, in pounds, for a male is given in terms of his height $$h$$, in inches, by the formula $$w= 4.5h-154$$, how much greater is Eric's recommended weight than Tom's, according to this formula?

(1) Eric is 4 inches taller than Tom.

(2) According to the formula, Tom's recommended weight is 152 pounds.
Math Expert
Joined: 02 Aug 2009
Posts: 7763
If the recommended weight w, in pounds, for a male is given in terms..  [#permalink]

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06 May 2016, 09:45
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broilerc wrote:
If the recommended weight $$w$$, in pounds, for a male is given in terms of his height $$h$$, in inches, by the formula $$w= 4.5h-154$$, how much greater is Eric's recommended weight than Tom's, according to this formula?

(1) Eric is 4 inches taller than Tom.

(2) According to the formula, Tom's recommended weight is 152 pounds.

The equation has two variables ..
let height and weight of Eric =$$h_e$$and $$w_e$$..
and those of Tom =$$h_t$$and $$w_t.$$.
the two eqs now are ..
$$w_e= 4.5h_e-154$$..
$$w_t= 4.5h_t-154$$...
we are looking for$$w_e-w_t$$..
subtract the two equations..
$$w_e-w_t= 4.5(h_e-h_t)$$...
so we require either the individual heights OR the difference..

(1) Eric is 4 inches taller than Tom.
this gives us $$h_e-h_t$$
Suff

(2) According to the formula, Tom's recommended weight is 152 pounds.
Insuff

A
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Re: If the recommended weight w, in pounds, for a male is given in terms..  [#permalink]

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06 May 2016, 09:38
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St1; Tom's recommended weight = 4.5t - 154
Eric's recommended weight = 4.5(t + 4) - 154
Eric exceeds Tom's weight by 4.5(t + 4) - 154 - 4.5t + 154 = 18
Sufficient

St2: Insufficient. We can find Tom's height using this statement but we do not have any information about Eric.

##### General Discussion
Intern
Joined: 18 Jan 2012
Posts: 37
Re: If the recommended weight w, in pounds, for a male is given in terms..  [#permalink]

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15 Jul 2016, 14:05
1) Use simple difference in height to calculate Weight via formula in question stem
2) Nothing about Eric or his height - insuff.
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Re: If the recommended weight w, in pounds, for a male is given in terms o  [#permalink]

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15 May 2018, 23:00
1
Stem: w = 4.5h – 154
What is Eric's weight (EW) - Tom's weight (TW)

S1) E = Eric's height; T = Tom's height
E = T+4
Eric's Weight: 4.5E – 154 = 4.5(T+4) – 154
Tom's Weight: 4.5T – 154
EW - TW
(4.5(T+4) – 154) - (4.5T – 154)

Sufficient

S2) TW = 152
Nothing is given for Eric.
Not Sufficient

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Re: If the recommended weight w, in pounds, for a male is given in terms..  [#permalink]

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26 May 2019, 10:19
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Re: If the recommended weight w, in pounds, for a male is given in terms..   [#permalink] 26 May 2019, 10:19
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