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

0.167lbs

Explanation:

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Answer 2

Explanation:

Let amount of water in lbs is x

so, mass of solution = mass of water + mass of sugar

= (x + 0.5) lbs

concentration of syrup = mass of sugar/mass of solution × 100

75 = 0.5/(x + 0.5) × 100

or, 75/100 = 0.5/(x + 0.5)

or, 3/4 = 0.5/(x + 0.5)

or, 3x + 3 × 0.5 = 4 × 0.5

or, 3x + 1.5 = 2

or, 3x = 0.5

or, x = 0.167 lbs

hence, amount of water is 0.167 lbs