Three acids A, B and C are mixed in the ratio 4:5:6 respectively, to f

Question

Three acids A, B and C are mixed in the ratio 4:5:6 respectively, to from a chemical for washing white clothes. The quantity of chemical is altered so that the ratio of acids A&B is 1/3 and the ratio of the acids B&C is made 2/3, the new ratio of all three can now be used to form a chemical for washing colored clothes. What is the total volume of new chemical solution formed if it contains 30ml of acid B?

A. 36ml
B. 45ml
C. 52ml
D. 72ml
E. 92ml

A. 36ml
B. 45ml
C. 52ml
D. 72ml
E. 92ml

alldaytestprep · Answer

A:B ---> 1x:3x
B:C ----> 2y:3y

Since the two ratios are linked through "B" I can get a ratio of of A:B:C by getting things in terms of x

Therefore 3x = 2y

Therefore y = (3/2)x = 1.5x

A:B:C -----> 1x:3x:3y ----> 1x:3x:3*1.5x ----> 1x:3x:4.5x

Total ml Solution = 1x + 3x + 4.5x = 8.5x

Since "B" = 30 ml -----> 3x = 30ml -----> x = 10

Therefore, total ml solution = 8.5 * 10 = 85ml.

Note: The ratio of the original mixture is irrelevant to this question.

Edit: Just realized 85ml isn't an answer choice. I think OP posted a bogus question. Is there a source for this question or did you make it up yourself. Check your numbers dude.

sudha3510 · Answer

Yeah ! I am getting 85 as the answer too ! Is this correct and if not, can someone post the correct answer

IanStewart · Answer

Yes, it's not clear what the 4:5:6 ratio has to do with the actual problem, and I also get 85 as the answer. It's a standard 3-part ratio question where we have:

a to b to c
1 to 3
.......2 to 3

and getting the same number for b (multiplying the first row by 2, the second by 3) we get

a to b to c
2 to 6 to 9

So b is 6/17 of the total mixture (2 + 6 + 9 = 17), and if the actual value of b is 30 = 5*6, the total amount must be 5*17 = 85.

Since the 4:5:6 ratio at the start of the question ends up being irrelevant, I'd have to guess whoever wrote the question intended to ask something else, but as the question is written, there's something wrong with it or with the answer choices.

Chetanarao · Answer

A'/B' = 1/3*4/5 = 4/15 
B'/C' = 2/3*5/6 =5/9
A':B':C' = 4:15:27
15x=30ml
x=2ml
total= 4+15+27 = 46x
total = 46*2 = 92ml

Peddi · Answer

I got it by eliminating options , after altering a/b=1:3,b:c=2:3, that indicates 3/4 th of a+b is b and also 2/5th of b+c is also b, remember that both quantities are equal so 3/4x= 2/5y cross multiplying it becomes 15x=8y >>>> x/y= 8/15 so x is 8/23 and y is 15/23 of total, in options the only multiple of 23 is 92 , so E is the answer

Posted from my mobile device

Posted from my mobile device

jprac · Answer

Given that the ratio of A, B, C is 4:5:6.

After alteration the ratio of A:B is 1/3
Thus, AB=1/3(4/5)=4/15
Similarly, after alteration the ratio of B:C is 23
Thus, BC=2/3(5/6)=5/9=(5×3)/(9×3)=15/27
Hence, after alteration the new ratios of A, B, C will be 4:15:27

Now, as the new chemical solution formed contains 30 ml of acid B, thus the values of A and

C will be 8 and 54 respectively {As the ratio between A, B, C is 4:15:27}

Therefore, the total volume of the new chemical solution formed is:

= 8 + 30 + 54 = 92

99ramanmehta · Answer

Hey  jprac

Could you please quote the rationale for multiplying the ratios (Thus, AB=1/3(4/5)=4/15)?

Hi  Bunuel ,

Would request your thoughts on this question.

Three acids A, B and C are mixed in the ratio 4:5:6 respectively, to f

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

Three acids A, B and C are mixed in the ratio 4:5:6 respectively, to f

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards