Question

After the addition of an acid,

a solution has a volume of 90 milliliters. The volume of the solution is 3 milliliters greater than 3 times the volume of the solution before the acid was added. What was the original volume of the solution?

Answer 1

Original volume = 29 milliliters

Explanation:

Let's call the original volume of the solution before the acid was added "x" milliliters.

After the addition of the acid, the solution has a volume of 90 milliliters.

According to the problem, this volume is 3 milliliters greater than 3 times the original volume (x):

`\sf 90 = 3x + 3`

Let's solve for x.

Subtract both sides by 3.

`\sf 90 -3= 3x + 3 -3`

Simplify:

`\sf 87 = 3x`

Divide both sides by 3:

`\sf (3x)/(3) = (87)/(3)`

`\sf x = 29`

So, the original volume of the solution before the acid was added was 29 milliliters.