A science teacher has a supply of 50% sugar solution and a supply of 80% sugar solution.
How much of each solution should the teacher mix together to get 105 mL of 60% sugar solution for an experiment?
(1 point)
70 mL of the 50% solution and 35 mL of the 80% solution
35 mL of the 50% solution and 70 mL of the 80% solution
70 mL of the 50% solution and 70 mL of the 80% solution
35 mL of the 50% solution and 35 mL of the 80% solution
35 mL of the 50% solution and 70 mL of the 80% solution
Here's how to calculate it: Let x be the amount of 50% sugar solution and y be the amount of 80% sugar solution.
Then, we have the following two equations:
0.50x + 0.80y = 0.60(105) and x + y = 105
Solving these equations simultaneously, we get x = 35 and y = 70.