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Simora [160]
4 years ago
5

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is

Mathematics
1 answer:
Luden [163]4 years ago
8 0

Answer:

We need 8 ounces of solution A and 32 ounces of solution B.

Step-by-step explanation:

We are given that 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.

  • First condition states that she wants to obtain  40  ounces of a mixture that is  60 %  salt, that means;

                       A + B = 40

                        B = 40 - A  ------------ [Equation 1]

  • Second condition states that Solution A is  40%  salt and Solution B is 65%  salt, that means;

                        0.4 \text{A}+0.65 \text{B}=0.60 \times 40

                        0.4 \text{A}+0.65 \text{B}=24

                        0.4 \text{A}+0.65 (40- \text{A})=24     {from equation 1}

                        0.4 \text{A}+26- \text{0.65A}=24

                        \text{0.65A} - 0.4 \text{A}=26-24

                                  \text{0.25A} =2  

                                    A  =  \frac{2}{0.25} = <u>8 ounces</u>

Now, putting value of A in equation 1, we get;

                           B = 40 - A

                           B = 40 - 8 = 32 ounces

Hence, we need 8 ounces of solution A and 32 ounces of solution B.

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