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
Let x be the amount of the 50% sugar solution.
So, the amount of the 80% sugar solution is 105 - x.
The amount of sugar in the 50% solution is 0.5x.
The amount of sugar in the 80% solution is 0.8(105 - x).
The total amount of sugar in the mixture is 0.6(105) = 63.
So, we have the equation 0.5x + 0.8(105 - x) = 63.
Solving this equation, we get 0.5x + 84 - 0.8x = 63.
Combining like terms, we get -0.3x + 84 = 63.
Subtracting 84 from both sides, we get -0.3x = -21.
Dividing both sides by -0.3, we get x = 70.
So, the teacher should mix 70 mL of the 50% sugar solution and 105 - 70 = 35 mL of the 80% sugar solution. Answer: \boxed{70}.