Question

Translate into an algebraic expression: How much 50% sugar syrup can you make if you have x grams of sugar ?

Answer 1

The algebraic expression is v = 2x

v is the volume of the sugar syrup and

x is the mass of sugar in grams.

Explanation:

Let x be the mass of sugar in grams and v be the volume of sugar syrup.

So, mass of sugar in grams/volume of sugar syrup × 100 % = 50 %

x/v × 100 % = 50 %

x/v = 50/100

x/v = 1/2

v = 2x

So, the algebraic expression required is v = 2x where v is the volume of the sugar syrup and x is the mass of sugar in grams.