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A scientist mixes water (containing no salt) with a solution that contains 30% salt. She wants to obtain 180 ounces of a mixture that is 15% salt. How many ounces of water and how many ounces of the 30% salt solution should she use?

Respuesta :

luisejr77

Answer:

water : 90 ounces

salt solution: 90 ounces

Step-by-step explanation:

Call w the amount of water and call the solution containing 30% salt.

We want to get 180 ounces of a mixture with 15% salt.

So:

The amount of mixture will be:

[tex]w + s = 180[/tex]

the amount of salt will be

[tex]0w + 0.3s = 180 * 0.15[/tex]

[tex]0.3s = 27[/tex]

[tex]s = 90\ ounces[/tex]

Now we substitute the value of s in the first equation and solve for w

[tex]w + 90 = 180[/tex]

[tex]w = 90\ ounces[/tex]

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