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there is a beaker of 3.5% acid solution and a beaker of 6% acid solution in the science lab. Mr. Larson needs 200ml of 4.5% acid solution for an experiment. How many of each solution should he combine?

Respuesta :

Below are the choices:

A. 80 mL of the 3.5% solution and 120 mL of the 6% solution 

B. 120 mL of the 3.5% solution and 80 mL of the 6% solution 

C. 140 mL of the 3.5% solution and 60 mL of the 6% solution 

D. 120 mL of the 3.5% solution and 80 mL of the 6% solution

Let fraction of 3.5% in final solution be p. 

p * 3.5 + (1 - p) * 6 = 4.5 

3.5p + 6 - 6p = 4.5 

2.5p = 1.5 

p = 3/5 

3/5 * 200 = 120 

Therefore the answer is B. 120 ml of 3.5% and 80 ml of 6%.

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