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90g of sugar will make how much 15% syrup?

2 Answers

4 votes

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.

4 votes
Hello,


To solve this problem simply multiply:

x/90 x 15/100 = 100x = 1350

Simplify

100x/100 = 1350/100

x = 13.5


Thus, 90 grams of sugar will make 13.5 grams of 15 percent syrup.



Faith xoxo
User Luiz Rossi
by
7.8k points

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