Mixed 200 g of 16% sugar syrup and 600 g of 64%. What is the concentration of sugar in the resulting solution?
| September 5, 2021 | education
Before finding the concentration of sugar in the resulting solution, it is necessary to determine the weight of sugar in each syrup.
To do this, we multiply the weight of the syrup by the indicated percentage value, which are converted to a decimal fraction.
16% = 16/100 = 0.16.
64% = 64/100 = 0.64.
The mass of sugar in the first syrup:
200 * 0.16 = 32 grams.
The mass of sugar in the second syrup.
600 * 0.64 = 384 grams.
The total weight of sugar is:
384 + 32 = 416 g.
The total weight of the solution is:
600 + 200 = 800 g.
The sugar concentration in the solution was:
416/800 * 100% = 52%.
Answer:
52%.
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