The positive number a is 2,241 % of the sum of the positive numbers b and c , and b

Question

The positive number a is 2,241 % of the sum of the positive numbers b and c , and b is 83 % of c . What percent of b is a ?

Accepted Answer

Choice D is correct. It&rsquo;s given that a is 2,241 % of the sum of b and c . This can be represented by the equation a = 2,241 100 b + c , or a = 22.41 b + c . It&rsquo;s also given that that b is 83 % of c . This can be represented by the equation b = 83 100 c , or b = 0.83 c . Dividing both sides of this equation by 0.83 yields b 0.83 = c . Substituting b 0.83 for c in the equation a = 22.41 b + c yields a = 22.41 b + b 0.83 , or a = 22.41 1.83 b 0.83 , which is equivalent to a = 41.0103 b 0.83 , or a = 49.41 b . This equation is equivalent to a = 4,941 100 b ; therefore, a is 4,941 % of b . Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors.

Question ad7217