A chemist prepares a solution by mixing 30 mL of liquid c with 50 mL of liquid d, and the resulting solution has a mass of 290 grams. She then combined 50 mL of liquid c with 40 mL of liquid d, and gets a solution that has a mass of 310 grams. In the equations below, c represents the concentration of liquid c, and d represents the concentration of liquid d. 30c + 50d = 290 50c + 40d = 310 What is the concentration of liquid c, in grams/mL?

Question

A chemist prepares a solution by mixing 30 mL of liquid c with 50 mL of liquid d, and the resulting solution has a mass of 290 grams. She then combined 50 mL of liquid c with 40 mL of liquid d, and gets a solution that has a mass of 310 grams. In the equations below, c represents the concentration of liquid c, and d represents the concentration of liquid d.  30c + 50d = 290 50c + 40d = 310  What is the concentration of liquid c, in grams/mL?