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. 50% syrup? 5% syrup? 75% syrup? 1.5% syrup? BUt how much pounds of syrup does she have I cant get it

Answer 1

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

Hope this helps :)