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zhannawk [14.2K]
3 years ago
8

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 i

s 12% sugar?
Mathematics
1 answer:
Dahasolnce [82]3 years ago
3 0

The amount of sugar x in the starting solution contributes to a 36% concentration, so we have

\dfrac x2=0.36\implies x=0.64

units of sugar in the solution.

Into this solution, Sharon wants to pour y liters of water to obtain a smaller concentration of sugar in the overall solution:

\dfrac{0.64}{2+y}=0.12\implies\dfrac{16}3=2+y\implies y=\dfrac{10}3\approx3.33

So Sharon needs to add \dfrac{10}3 liters of water to the solution to get the desired concentration.

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