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How many liters of water must Sharon add to 2 liters of a sugar and water solution that is 36% sugar to create a solution that is 12% sugar? Answer: liters

2 Answers

2 votes

Answer:

4 liters is the correct answer

Explanation:

User Hyponym
by
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2 votes

Answer:

4 liters.

Explanation:

From the question above, we are required to find the amount of water that should be added to a sugar and water solution.

Let x represent the amount of water that would be added by Sharon.

2×36/100= 12/100(2+x)

2×0.36= 0.12(2+x)

Cross multiply both sides

0.72= 0.24+0.12x

Collect the like terms

0.72-0.24= 0.12x

0.48= 0.12x

Divide both sides by the coefficient of x which is 0.12

0.48/0.12= 0.12x/0.12

x= 4

Hence Sharon should add 4 liters of water to 2liters of sugar and water solution that is 36% sugar to form a solution of 12% sugar.

User Manolis Proimakis
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