A certain vinegar is 5.0% acetic acid in water. What mass (in grams) of acetic acid is needed to mix with 185 grams of water to prepare this vinegar?

.05(185+gramsAceticAcid)=gramsAceticAcid

gramsAceticAcid=.05*185/(.95)

check my algebra.

To determine the mass of acetic acid needed to prepare the vinegar, we need to calculate 5.0% of the total mass.

Step 1: Convert the percentage to a decimal form:
5.0% = 0.05

Step 2: Calculate the mass of acetic acid:
Mass of acetic acid = 0.05 × Total mass of vinegar
= 0.05 × (Mass of water + Mass of acetic acid)

Step 3: Substitute the given value:
185 grams of water = Mass of acetic acid × (1/0.05) + Mass of acetic acid

Step 4: Simplify the equation:
185 grams of water = Mass of acetic acid × (1/0.05 + 1)
1.05 = 2/0.05 × Mass of acetic acid
Mass of acetic acid = (1.05 × 0.05)/2
= 0.0525/2
= 0.02625 kilograms

Note: To convert kilograms to grams, multiply by 1000:
Mass of acetic acid = 0.02625 × 1000
= 26.25 grams

Therefore, 26.25 grams of acetic acid is needed to mix with 185 grams of water to prepare the vinegar.

To solve this problem, we need to determine the mass of acetic acid required to prepare the vinegar.

Given:
- The vinegar is 5.0% acetic acid, which means that the remaining 95.0% is water.
- The mass of water is 185 grams.

Step 1: Calculate the percentage of acetic acid in the vinegar.
Since the vinegar is 5.0% acetic acid, we know that the remaining 95.0% is water.

Step 2: Determine the mass of acetic acid in the vinegar.
The mass of acetic acid in the vinegar is calculated as follows:
Mass of acetic acid = (percentage of acetic acid / 100) x Total mass of vinegar

In this case, the total mass of the vinegar is the sum of the mass of acetic acid and the mass of water.

Let's solve the equation:

Mass of acetic acid = (5.0 / 100) x Total mass of vinegar

Step 3: Calculate the total mass of vinegar.
We know that the total mass of the vinegar is the sum of the mass of acetic acid and the mass of water.

Total mass of vinegar = Mass of acetic acid + Mass of water

Since the mass of water is given as 185 grams, we can substitute it into the equation:

Total mass of vinegar = Mass of acetic acid + 185 grams

By rearranging the equation, we find:

Mass of acetic acid = Total mass of vinegar - Mass of water

Finally, substitute the values into the equation:

Mass of acetic acid = Total mass of vinegar - 185 grams

Therefore, the mass of acetic acid required to mix with 185 grams of water to prepare this vinegar is equal to the total mass of vinegar minus 185 grams.