A chemist has 200 liters of a solution which is 12% acid. She has another solution which is 30% acid. She needs a new solution which is 20% acid. The chemist used the chart to organize the amounts of solutions she plans to mix. How many liters of 30% acid solution, x, does the chemist need to add to the 12% acid solution to obtain a 20% acid solution? Total Amount Acid Content (liters) (liters) 12% Acid 200 0.12(200) Solution 30% Acid Solution 0.3x New Mixture 200 + X 0.2(200 + X) CLEAR SUBMIT 360 240 liters 200 liters 160 liters

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ISBN:9781337282291
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Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.3: Modeling With Linear Equations
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A chemist has 200 liters of a solution which is 12% acid. She has another solution
which is 30% acid. She needs a new solution which is 20% acid. The chemist used the
chart to organize the amounts of solutions she plans to mix. How many liters of 30%
acid solution, x, does the chemist need to add to the 12% acid solution to obtain a
20% acid solution?
Total Amount Acid Content
(liters)
(liters)
12% Acid
200
0.12(200)
Solution
30% Acid
Solution
0.3x
New Mixture
200 + X
0.2(200 + X)
CLEAR
SUBMIT
360
240 liters
200 liters
160 liters
Transcribed Image Text:A chemist has 200 liters of a solution which is 12% acid. She has another solution which is 30% acid. She needs a new solution which is 20% acid. The chemist used the chart to organize the amounts of solutions she plans to mix. How many liters of 30% acid solution, x, does the chemist need to add to the 12% acid solution to obtain a 20% acid solution? Total Amount Acid Content (liters) (liters) 12% Acid 200 0.12(200) Solution 30% Acid Solution 0.3x New Mixture 200 + X 0.2(200 + X) CLEAR SUBMIT 360 240 liters 200 liters 160 liters
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