Answer:
6 lbs of water.
Step-by-step explanation:
Ms. Sophie has 24 lbs of syrup which contains 20% i.e. 4.8 lbs of sugar
If she wants to make it 16% she has to dilute it with water
Let water added be x.
Then total syrup weight = 24+x (since increases by x)
Sugar content = same as before = 4.8
Percent of sugar = [tex]\frac{4.8}{24+x} =0.16[/tex]
(since given as 16%)
Simplify by multiplying by dividing by 0.16
30 =24+x
x=6 lbs
Hence 6 lbs of water to be added to make 16% sugar syrup.