Respuesta :
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;
[tex]0.4 \text{A}+0.65 \text{B}=0.60 \times 40[/tex]
[tex]0.4 \text{A}+0.65 \text{B}=24[/tex]
[tex]0.4 \text{A}+0.65 (40- \text{A})=24[/tex] {from equation 1}
[tex]0.4 \text{A}+26- \text{0.65A}=24[/tex]
[tex]\text{0.65A} - 0.4 \text{A}=26-24[/tex]
[tex]\text{0.25A} =2[/tex]
A = [tex]\frac{2}{0.25}[/tex] = 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.
