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06 May 2016, 09:20
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A
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Difficulty:
25%
(medium)
Question Stats:
74% (01:24) correct
26%
(01:30)
wrong
based on 1199
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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.
(1) Eric is 4 inches taller than Tom.
(2) According to the formula, Tom's recommended weight is 152 pounds.
06 May 2016, 09:45
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broilerc
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.
Nothing about height
Insuff
A
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.
Answer: A
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.
Answer: A
