High School

In a science experiment, Elizabeth mixes a salt solution and vinegar in a ratio of 3:7. The total volume of the mixture is 260 milliliters. What is the volume of vinegar Elizabeth uses?

A. 156 mL
B. 182 mL
C. 182 mL
D. 182 mL

Answer :

Final answer:

Elizabeth uses 182 milliliters of vinegar for her mixture, which is found by dividing the total volume by the sum of the parts of the ratio and then multiplying by the parts for vinegar.

Explanation:

The student asked what is the volume of vinegar Elizabeth uses if she mixes a salt solution and vinegar in a ratio of 3:7 and the total volume of the mixture is 260 milliliters.

To find out the volume of vinegar, follow these steps:

  1. Determine the total parts of the mixture by adding the parts of salt solution and vinegar. In this case, 3 parts salt solution + 7 parts vinegar equals 10 parts total.
  2. Divide the total volume of the mixture by the number of total parts to find the volume of one part. Divide 260 mL by 10 parts, which comes out to 26 mL per part.
  3. Multiply the volume of one part by the number of parts of vinegar to get the total volume of vinegar. Multiply 26 mL by 7 parts, which equals 182 mL of vinegar.

Therefore, Elizabeth uses 182 milliliters of vinegar in her mixture.