Ms sophie has 24 lbs of 20% sugar syrup. how much pure water should she add to make 16% sugar syrup?

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 =

(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.

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step-by-step explanation:

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region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true