A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 40% salt and Solution B is 65% salt. She wants to obtain 110 ounces of a mixture that is 55% salt. How many ounces of each solution should she use?
Accepted Solution
A:
Answer: There are 44 ounces of Solution A and 66 ounces of Solution B.Step-by-step explanation:Since we have given that Percentage of salt in solution A = 40%Percentage of salt in solution B = 65%Percentage of salt in mixture = 55%Total ounces of a mixture = 110 ouncesWe will use "Mixture and Allegation ": Solution A Solution B 40% 65% 55%----------------------------------------------------------------------------- 65% - 55% : 55% - 40% 10% : 15% 2 : 3So, the ratio of solution A to solution B is 2:3.So, the number of ounces of solution A she should use is given by[tex]\dfrac{2}{5}\times 110\\\\=44\ ounces[/tex]Number of ounces of solution B she should use is given by[tex]\dfrac{3}{5}\times 110=66\ ounces[/tex]Hence, there are 44 ounces of Solution A and 66 ounces of Solution B.