Final answer:
Using the percent concentration formula, it is calculated that 90g of sugar will make 600g of a 15% syrup solution.
Step-by-step explanation:
To determine the total mass of a 15% syrup that can be made from 90g of sugar, we need to use the concept of percent concentration. The percent concentration formula is:
Percent Concentration = (Mass of Solute / Total Mass of Solution) x 100%
We need a 15% sugar solution, so let's set up the equation:
15% = (90g / Total mass of solution) x 100%
To find the Total mass of solution, we rearrange the equation:
Total mass of solution = 90g / 0.15
The total mass of solution = 600g
Thus, 90g of sugar will make 600g of a 15% syrup. This includes the 90g of sugar and the necessary amount of water to make up the remainder of the mass.