SOLUTION: A dietitian makes sure that she always consumes twice as many grams of protein as grams of fat per day. If she needs to eat more than 135 grams of both fat and protein combined to

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Question 1195488: A dietitian makes sure that she always consumes twice as many grams of protein as grams of fat per day. If she needs to eat more than 135 grams of both fat and protein combined to maintain her current muscle mass, which of the following is NOT a possible value for her daily protein count?
A) 90 grams
B) 91 grams
C) 92 grams
D) 93 grams


Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Reasoning logically, since the total must be greater than 135 grams and the question asks which of the answer choices is NOT a possible number of grams of protein, the answer HAS TO be the smallest answer choice. So answer A, 90 grams.

Mathematically, if the number of grams of protein is 90, then the number of grams of fat is 90/2 = 45, and the total is 90+45 = 135 -- but the total has to be GREATER then 135 grams.


Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
p & f, protein & fat
system%28p%2Ff=2%2Cp%2Bf%3E135%29

f%2Fp=1%2F2
f=p%2F2

p%2Bp%2F2%3E135
2p%2Bp%3E270
3p%3E3%2A9%2A10
p%3E90

One of the conditions of the description specifies GREATER THAN; not including 'equal to'. Only choice (A) 90 grams fits the question.