Watch the video and then solve the problem given below.
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How many ounces of a alcohol solution must be mixed with 3 ounces of a alcohol solution to make a alcohol solution?
The number of ounces of the alcohol solution that needs to be mixed is
(Simplify your answer.)

Ask by Barnett Garrett. in the United States

Mar 31,2025

Question

Watch the video and then solve the problem given below.
Click here to watch the video.
How many ounces of a alcohol solution must be mixed with 3 ounces of a alcohol solution to make a alcohol solution?
The number of ounces of the alcohol solution that needs to be mixed is
(Simplify your answer.)

Ask by Barnett Garrett. in the United States

Mar 31,2025

UpStudy AI · Accepted Answer

Let $$ x $$ be the number of ounces of the $$ 13\% $$ alcohol solution needed.

1. Write the equation for the total amount of pure alcohol before and after mixing:
   
   The total alcohol from the $$ 13\% $$ solution is $$ 0.13x $$ ounces, and from the $$ 20\% $$ solution is $$ 0.20 \times 3 $$ ounces.
   
   After mixing, the total alcohol in the mixture is $$ 0.16(x+3) $$ ounces.
   
   Therefore, we have:
   
   $$
   0.13x + 0.20 \times 3 = 0.16(x+3)
   $$

2. Simplify and solve the equation:

Compute $$ 0.20 \times 3 $$:
   
   $$
   0.13x + 0.60 = 0.16x + 0.48
   $$
   
   Subtract $$ 0.13x $$ from both sides:
   
   $$
   0.60 = 0.03x + 0.48
   $$
   
   Subtract $$ 0.48 $$ from both sides:
   
   $$
   0.12 = 0.03x
   $$
   
   Divide both sides by $$ 0.03 $$:
   
   $$
   x = \frac{0.12}{0.03} = 4
   $$

3. Conclusion:

The number of ounces of the $$ 13\% $$ alcohol solution that must be mixed is $$ \boxed{4} $$.
The number of ounces of the $$ 13\% $$ alcohol solution that needs to be mixed is **4 ounces**.

Watch the video and then solve the problem given below.
Click here to watch the video.
How many ounces of a alcohol solution must be mixed with 3 ounces of a alcohol solution to make a alcohol solution?
The number of ounces of the alcohol solution that needs to be mixed is
(Simplify your answer.)

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Watch the video and then solve the problem given below. Click here to watch the video. How many ounces of a alcohol solution must be mixed with 3 ounces of a alcohol solution to make a alcohol solution? The number of ounces of the alcohol solution that needs to be mixed is (Simplify your answer.)

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Watch the video and then solve the problem given below.
Click here to watch the video.
How many ounces of a alcohol solution must be mixed with 3 ounces of a alcohol solution to make a alcohol solution?
The number of ounces of the alcohol solution that needs to be mixed is
(Simplify your answer.)