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A cook has 32 ounces of a 5% apple cider vinegar that she wants to dilute to a 3% apple cider vinegar . How much water does she need to add to obtain that concentration?

Sagot :

MrRoyal

The cook needs to add 21.3 ounces of water to obtain the concentration

The cook has 32 ounces of 5% apple cider vinegar.

The total apple cider vinegar the cook has is:

[tex]Total = 32 \times 5\%[/tex]

[tex]Total = 1.6[/tex]

Let the quantity of water be x.

To dilute 3% apple cider vinegar, the cook would make use of the following equation

[tex]Total = 3\%\times (Apple\ Cider\ Vinegar + Water)[/tex]

So, we have:

[tex]Total = 3\%\times (32 + x)[/tex]

Substitute 1.6 for total

[tex]1.6= 3\%\times (32 + x)[/tex]

Divide both sides by 3%

[tex]53.3=32 + x[/tex]

Subtract 32 from both sides

[tex]53.3-32= x[/tex]

[tex]21.3= x[/tex]

Rewrite as:

[tex]x = 21.3[/tex]

Hence, the cook needs to add 21.3 ounces of water

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