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John needs to mix a solution in the following ratio: 1 part [#permalink]

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29 Dec 2012, 13:23

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John needs to mix cleaning solution in the following ratio: 1 part bleach for every 4 parts water. When mixing the solution, John makes a mistake and mixes in half as much bleach as he ought to have. The total solution consists of 27 mL. How much bleach did John put into the solution?

Re: John needs to mix a solution in the following ratio: 1 part [#permalink]

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30 Dec 2012, 04:44

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megafan wrote:

John needs to mix cleaning solution in the following ratio: 1 part bleach for every 4 parts water. When mixing the solution, John makes a mistake and mixes in half as much bleach as he ought to have. The total solution consists of 27 mL. How much bleach did John put into the solution?

(A) 9 mL (B) 6 mL (C) 5 mL (D) 3 mL (E) 1.5 mL

Bleach:Water :: 1:4

So in terms of x, let B=2x, W=8x since actual bleach was just half B=x and so B+W = 27 => 9x= 27 an x = 3

John needs to mix cleaning solution in the following ratio: 1 part bleach for every 4 parts water. When mixing the solution, John makes a mistake and mixes in half as much bleach as he ought to have. The total solution consists of 27 mL. How much bleach did John put into the solution?

(A) 9 mL (B) 6 mL (C) 5 mL (D) 3 mL (E) 1.5 mL

Usual ratio = Bleach : Water = 1:4 = 2:8 = 2x:8x.

Mistake ratio = x:8x. Since the total solution consists of 27 mL, then x+8x=27 --> x=3.

Alexandra needs to mix cleaning solution in the following ratio [#permalink]

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20 Sep 2015, 00:49

Alexandra needs to mix cleaning solution in the following ratio: 1 part bleach for every 4 parts water. When mixing the solution, Alexandra makes a mistake and mixes in half as much bleach as she ought to have. The total solution consists of 27 mL. How much bleach did Alexandra put into the solution?

A) 1.5 B) 3 C) 4.5 D) 5 E) 6

Last edited by Engr2012 on 20 Sep 2015, 05:39, edited 1 time in total.

Re: Alexandra needs to mix cleaning solution in the following ratio [#permalink]

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20 Sep 2015, 00:52

jaspreets wrote:

Alexandra needs to mix cleaning solution in the following ratio: 1 part bleach for every 4 parts water. When mixing the solution, Alexandra makes a mistake and mixes in half as much bleach as she ought to have. The total solution consists of 27 mL. How much bleach did Alexandra put into the solution?

1)1.5 2)3 3)4.5 4)5 5)6

Could some please explain why answer is 3. Thank you.

Re: Alexandra needs to mix cleaning solution in the following ratio [#permalink]

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20 Sep 2015, 03:56

jaspreets wrote:

jaspreets wrote:

Alexandra needs to mix cleaning solution in the following ratio: 1 part bleach for every 4 parts water. When mixing the solution, Alexandra makes a mistake and mixes in half as much bleach as she ought to have. The total solution consists of 27 mL. How much bleach did Alexandra put into the solution?

1)1.5 2)3 3)4.5 4)5 5)6

Could some please explain why answer is 3. Thank you.

New ratio will become 1:8 (1:4 = 2:8; half of the bleach = 1:8) --> 1/9 of 27 = 3

Alexandra needs to mix cleaning solution in the following ratio: 1 part bleach for every 4 parts water. When mixing the solution, Alexandra makes a mistake and mixes in half as much bleach as she ought to have. The total solution consists of 27 mL. How much bleach did Alexandra put into the solution?

1)1.5 2)3 3)4.5 4)5 5)6

Could some please explain why answer is 3. Thank you.

hi the ratio is 1:4.. but only half of sol is put... so the actual ratio is 1/2:4 or 1:8.. so the quantity =1/9 * 27 =3 B
_________________

Alexandra needs to mix cleaning solution in the following ratio: 1 part bleach for every 4 parts water. When mixing the solution, Alexandra makes a mistake and mixes in half as much bleach as she ought to have. The total solution consists of 27 mL. How much bleach did Alexandra put into the solution?

1)1.5 2)3 3)4.5 4)5 5)6

Could some please explain why answer is 3. Thank you.

Alexandra needs to mix cleaning solution in the following ratio: 1 part bleach for every 4 parts water. When mixing the solution, Alexandra makes a mistake and mixes in half as much bleach as she ought to have. The total solution consists of 27 mL. How much bleach did Alexandra put into the solution?

A) 1.5 B) 3 C) 4.5 D) 5 E) 6

Ratio needed is 1:4 But only half of the solution is mixed, hence actual ratio = (1/2):4 = 1:8

This means that the solution has total 9 parts, out of which I part if the bleach

Hence the quantity will be =1/9 * 27 =3. Option B
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Re: John needs to mix a solution in the following ratio: 1 part [#permalink]

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28 Sep 2016, 06:03

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Re: John needs to mix a solution in the following ratio: 1 part [#permalink]

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01 Mar 2017, 06:51

He was suppose to mix in the ratio of 1:4. By mistake he mixed ½:4 or 1:8. Therefore 1/(8+1) or 1/9 will be bleach. Total solution is 27ml. Therefore 1/9 of 27 = 3ml is the total bleach in it. Option D

John needs to mix cleaning solution in the following ratio: 1 part bleach for every 4 parts water. When mixing the solution, John makes a mistake and mixes in half as much bleach as he ought to have. The total solution consists of 27 mL. How much bleach did John put into the solution?

(A) 9 mL (B) 6 mL (C) 5 mL (D) 3 mL (E) 1.5 mL

We are given the following ratio:

bleach : water = x : 4x

Since only half of the bleach was used, the new ratio is 0.5x : 4x. Since 27 mL were used, we can create the following equation to determine x:

0.5x + 4x = 27

4.5x = 27

x = 6

Since x = 6, John put 3 mL of bleach into the solution.

Answer: D
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If you're not sure how to approach this question, then you can TEST THE ANSWERS and do a bit of easy 'brute force' math to get to the solution.

We're told that the ratio of bleach to water is SUPPOSED to be 1:4, but that John accidentally puts in HALF the bleach that he's supposed to and ends up with 27 mL of total solution. We're asked for the amount of bleach (in mL) that he actually put in.

Let's start with the smallest answer and work our way up...

Answer E: 1.5

IF.... John put in 1.5 mL of bleach.... then he should have put in 3 mL of bleach and 12 mL of water... the total of THIS mixture is 1.5 + 12 = 13.5 mL which is TOO SMALL (notice that this total is exactly HALF of what it should be....)

Answer D: 3

IF.... John put in 3 mL of bleach.... then he should have put in 6 mL of bleach and 24 mL of water... the total of THIS mixture is 3 + 24 = 27 mL which is an exact MATCH for what we were told, so this MUST be the answer.

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