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For the positive integers a, b, c, and d, a is half of b, wh [#permalink]
20 May 2018, 16:49
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53% (01:20) correct
46% (01:03) wrong based on 13 sessions
For the positive integers a, b, c, and d, a is half of b, which is onethird of c. The value of d is triple that of c.
Quantity A 
Quantity B 
\(\frac{a+b}{c}\) 
\(\frac{a+b+c}{d}\) 
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.
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Re: For the positive integers a, b, c, and d, a is half of b, wh [#permalink]
27 May 2018, 19:11
sandy wrote: For the positive integers a, b, c, and d, a is half of b, which is onethird of c. The value of d is triple that of c.
Quantity A 
Quantity B 
\(\frac{a+b}{c}\) 
\(\frac{a+b+c}{d}\) 
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given. Please provide the solution.



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Re: For the positive integers a, b, c, and d, a is half of b, wh [#permalink]
28 May 2018, 02:04
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first, translate all the words into mathematical equations. so that will be: 2a=b 3b=c d=3c the next step is to substitute all the equations we've got. C is equal to 3b (c=3b), and we know that b = 2a. So we can write c= 3b= 3(2a)= 6a. in other words, we state all the variable in terms of one variable (in my case, I chose variable a cause it's easy) it will be like this: b= 2a c= 3b= 6a d= 3c= 18a the final step is to write the quantities (A and B) in terms of variable a and do the math. you'll see that quantity A and B are equal: both final result is 1/2 hope this helps




Re: For the positive integers a, b, c, and d, a is half of b, wh
[#permalink]
28 May 2018, 02:04





