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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

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

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

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30 Dec 2012, 07:21

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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

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

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

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20 Sep 2015, 04:22

Expert's post

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.

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 _________________

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

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20 Sep 2015, 05:41

Expert's post

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.

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

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21 Sep 2015, 20:50

Expert's post

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?

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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