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A pharmacist wishes to mix a solution that is Minoxidil. She has on hand 90 ml of a solution and wishes to add some solution to obtain the desired solution should she add?
She should add .

Ask by Barnett Love. in the United States

Mar 30,2025

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A pharmacist wishes to mix a solution that is Minoxidil. She has on hand 90 ml of a solution and wishes to add some solution to obtain the desired solution should she add?
She should add .

Ask by Barnett Love. in the United States

Mar 30,2025

UpStudy AI · Accepted Answer

Let $$ x $$ be the volume of the $$ 7\% $$ solution to be added.

1. The amount of Minoxidil in the $$ 2\% $$ solution is:
   $$
   90 \times 0.02 = 1.8 \text{ ml}
   $$

2. The amount of Minoxidil in the $$ 7\% $$ solution is:
   $$
   x \times 0.07 = 0.07x \text{ ml}
   $$

3. The total volume of the mixture will be:
   $$
   90 + x \text{ ml}
   $$

4. The desired concentration of the mixture is $$ 5\% $$, so the total amount of Minoxidil needed is:
   $$
   0.05(90 + x) \text{ ml}
   $$

5. Set up the equation for the conservation of Minoxidil:
   $$
   1.8 + 0.07x = 0.05(90 + x)
   $$

6. Simplify the right side:
   $$
   1.8 + 0.07x = 4.5 + 0.05x
   $$

7. Subtract $$ 0.05x $$ from both sides:
   $$
   1.8 + 0.02x = 4.5
   $$

8. Subtract $$ 1.8 $$ from both sides:
   $$
   0.02x = 2.7
   $$

9. Divide both sides by $$ 0.02 $$:
   $$
   x = \frac{2.7}{0.02} = 135
   $$

She should add $$ \boxed{135 \text{ ml}} $$.
She should add 135 ml of the 7% solution.