Question

Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will have in each case.

75% syrup?

Answer 1

Ella has 0.5 lbs of sugar. 75% syrup

Percent of mass =
`(mass of solute)/(mass of solution) * 100`

Let the mass of solution is x

Given mass of solute = 0.5

percent of mass = 75

75 =
`( 0.5)/(x) * 100`

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.