Answer:
she has to add 32.83 lbs of water and will obtain 32.83 lbs of syrup
Step-by-step explanation:
Concentration = [ (mass of sugar)/(mass of solution) ] * 100
= mass of solution = mass of sugar * 100 / concentration
1) concentration 20%
mass of sugar = 0.5 lbs
= mass of solution = mass of sugar * 100 / concentration = 0.5 lbs * 100 / 20
mass of solution = 2,5 lbs
mass of water = mass of solution - mass of sugar = 2.5 lbs - 0.5 lbs = 2.0 lbs
Answer: she must add 2.0 lbs of water and will obtain 2.5 lbs of syrup
2) concentration 25%
Follow the same procedure.
mass of solution = 0.5 lbs * 100 / 25 =
mass of solution = 2.0 lbs
mass of water = 2.0 lbs - 0.5 lbs = 1.5lbs
Answer: she has to add 1.5 lbs of water and will obtain 2.0 lbs of syrup
3) Same procedure
mass of solution = mass of sugar * 100 / concentration = 0.5 lbs * 100 / 1.5
mass of solution = 33.33 lbs
mass of water = 33.33 lbs - 0.5 lbs = 32.83 lbs
Answer: she has to add 32.83 lbs of water and will obtain 32.83 lbs of syrup
Hope it helps
