Question

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

Answer 1

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  =  $\frac{2}{0.25}$ = 8 ounces

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.