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Three quarts of a bleaching chemical, Minum, contains 5 percent hydrog [#permalink]

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04 Apr 2005, 11:04

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29% (02:24) wrong based on 505 sessions

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Three quarts of a bleaching chemical, Minum, contains 5 percent hydrogen peroxide and water. A different type of bleaching chemical, Maxim, which contains 20 percent hydrogen peroxide, will be mixed with the three quarts of Minum. How much of type Maxim should be added to the three quarts of Minum so that the resulting mixture contains 15 percent hydrogen peroxide?

A. 3 quarts B. 3.75 quarts C. 4.5 quarts D. 6 quarts E. 9 quarts

Re: Three quarts of a bleaching chemical, Minum, contains 5 percent hydrog [#permalink]

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04 Apr 2005, 12:55

say one quart is 100/3
you have 0.05*100=5
then backsolve
start from C -> 4.5*100/3=150
150*0.2=30
in the new mixture there are 35/250
we needed 37.5 (more)
now D
6*100/3=200
200*0.2=40
45/300 perfect

Re: Three quarts of a bleaching chemical, Minum, contains 5 percent hydrog [#permalink]

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05 Apr 2005, 08:12

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cloaked_vessel wrote:

Three quarts of a bleaching chemical, Minum, contains 5 percent hydrogen peroxide and water. A different type of bleaching chemical, Maxim, which contains 20 percent hydrogen peroxide, will be mixed with the three quarts of Minum. How much of type Maxim should be added to the three quarts of Minum so that the resulting mixture contains 15 percent hydrogen peroxide?

A) 3 quarts

B) 3.75 quarts

C) 4.5 quarts

D) 6 quarts

E) 9 quarts

Ans id 'D'
5% HydPer&Water (HPW) of 3 quart of Minum= .15 q
20% of HPW of x q of Maxim = .2x
Total = .15 + .2x = .15 (3+x)
Solving , x=6 quart

Three quarts of a bleaching chemical, Minum, contain 5 percent hydrogen peroxide. A different type of bleaching chemical, Maxim, which contains 20 percent hydrogen peroxide, will be mixed with the three quarts of Minum. How many quarts of Maxim should be added to the three quarts of Minum so that the resulting mixture is 15 percent hydrogen peroxide?

The answer is 6. let 'x' be the qty of maxim which has to be mixed with minum. so, the total qty of the mixture=(x+3). Since the mixture has 15% of hydrogen peroxide we can have the eqn as (5%*3)+(20%*x)=15%*(x+3) solving this we get x=6.

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Re: Three quarts of a bleaching chemical, Minum, contains 5 percent hydrog [#permalink]

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29 Jun 2015, 14:11

cloaked_vessel wrote:

Three quarts of a bleaching chemical, Minum, contains 5 percent hydrogen peroxide and water. A different type of bleaching chemical, Maxim, which contains 20 percent hydrogen peroxide, will be mixed with the three quarts of Minum. How much of type Maxim should be added to the three quarts of Minum so that the resulting mixture contains 15 percent hydrogen peroxide?

A. 3 quarts B. 3.75 quarts C. 4.5 quarts D. 6 quarts E. 9 quarts

"Bunuel,

can you please explain the solution stepwise as i have no idea as to how to start this sort of mixture questions. Thanks!

Three quarts of a bleaching chemical, Minum, contains 5 percent hydrogen peroxide and water. A different type of bleaching chemical, Maxim, which contains 20 percent hydrogen peroxide, will be mixed with the three quarts of Minum. How much of type Maxim should be added to the three quarts of Minum so that the resulting mixture contains 15 percent hydrogen peroxide?

A. 3 quarts B. 3.75 quarts C. 4.5 quarts D. 6 quarts E. 9 quarts

"Bunuel,

can you please explain the solution stepwise as i have no idea as to how to start this sort of mixture questions. Thanks!

So, for the final concentration to be 15% for every par of Minum we should take 2 parts of Maxim. Since, we are mixing 3 parts of Minum, we should take 3*2 = 6 parts of Maxim.

Approach #2:

Equate hydrogen peroxide:

5% of 3 parts + 20% of x parts = 15% of total, so 15% of 3 + x parts: 0.05*3 + 0.2*x = 0.15(3 + x) x = 6.

Answer: D.

Another approach would be just to plug in the answers and work backwards.

A chemist has 3 liters of a bleaching chemical, Minum, which is compos [#permalink]

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18 Oct 2015, 07:26

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A chemist has 3 liters of a bleaching chemical, Minum, which is composed of 5 percent hydrogen peroxide. A different type of bleaching chemical, Maxim, which is composed of 20 percent hydrogen peroxide, will be mixed with three liters of Minum. How many liters of maxim should be added to the three liters of Minum so that the resulting mixture is 15 percent Hydrogen peroxide.

Re: A chemist has 3 liters of a bleaching chemical, Minum, which is compos [#permalink]

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18 Oct 2015, 08:30

shyind wrote:

A chemist has 3 liters of a bleaching chemical, Minum, which is composed of 5 percent hydrogen peroxide. A different type of bleaching chemical, Maxim, which is composed of 20 percent hydrogen peroxide, will be mixed with three liters of Minum. How many liters of maxim should be added to the three liters of Minum so that the resulting mixture is 15 percent Hydrogen peroxide.

A chemist has 3 liters of a bleaching chemical, Minum, which is compos [#permalink]

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18 Oct 2015, 08:36

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(1) The variables in the problem \(m =\) # liters of minum; \(cm =\)concentration (%) of minum \(M =\) # liters of Maxim; \(cM =\)concentration (%) of Maxim \(T =\) # liters in total after mixing both minum and Maxim; \(cT =\)concentration (%) of the mixture

(2) What we know from the stem From the stem, we know that \(m=3, rm = 5, rM=20\). \(M\) is unknown. \(T = m + M = 3 + M\) What we want to know: \(M\)

(3)From all of thi above, we have that

\(\frac{m * cm + M * cM}{T} = cT\)

(4) Plugging in the values from (2):

\(\frac{3 * 5 + M * 20}{(3 + M)} = 15\)

If we solve for \(M\) we get \(M=6\), so is the correct answer.

Hope this helps! Please, kudos!!!
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Three quarts of a bleaching chemical, Minum, contains 5 percent hydrog [#permalink]

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16 Aug 2017, 18:22

cloaked_vessel wrote:

Three quarts of a bleaching chemical, Minum, contains 5 percent hydrogen peroxide and water. A different type of bleaching chemical, Maxim, which contains 20 percent hydrogen peroxide, will be mixed with the three quarts of Minum. How much of type Maxim should be added to the three quarts of Minum so that the resulting mixture contains 15 percent hydrogen peroxide?

A. 3 quarts B. 3.75 quarts C. 4.5 quarts D. 6 quarts E. 9 quarts

Simplifying the arithmetic a bit by changing decimal percent concentrations to integers . . .

Re: Three quarts of a bleaching chemical, Minum, contains 5 percent hydrog [#permalink]

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21 Aug 2017, 08:34

cloaked_vessel wrote:

Three quarts of a bleaching chemical, Minum, contains 5 percent hydrogen peroxide and water. A different type of bleaching chemical, Maxim, which contains 20 percent hydrogen peroxide, will be mixed with the three quarts of Minum. How much of type Maxim should be added to the three quarts of Minum so that the resulting mixture contains 15 percent hydrogen peroxide?

A. 3 quarts B. 3.75 quarts C. 4.5 quarts D. 6 quarts E. 9 quarts

Using allegation : Let x be the quantity of Maxim added 3/x=(20-15)/(15-5) x=6 Ans. D

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