Ella has 0.5 lbs of sugar. 75% syrup
Percent of mass = [tex] \frac{mass of solute}{mass of solution} * 100 [/tex]
Let the mass of solution is x
Given mass of solute = 0.5
percent of mass = 75
75 = [tex] \frac{ 0.5}{x} * 100 [/tex]
75x = 0.5 * 100
75 x = 50
x = 0.67
Mass of solution = 0.67
Mass of water = mass of solution - mass of solute (sugar)
= 0.67 - 0.5 = 0.17
So 0.17lb of water is added with 0.5lb of sugar to get 0.67lb of solution.