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Egor mixes 100 grams of 20% sugar syrup and 400 grams of 30% sugar syrup. Find the concentration of the resulting syrup.

The concentration of the resulting syrup is

1 answer

To find the concentration of the resulting syrup, we need to calculate the total amount of sugar in each of the syrups and the total mass of the mixture.

  1. Calculate the amount of sugar in the 20% syrup:

    • Weight of 20% syrup = 100 grams
    • Concentration = 20%
    • Amount of sugar = Weight × Concentration = 100 grams × 0.20 = 20 grams

  2. Calculate the amount of sugar in the 30% syrup:

    • Weight of 30% syrup = 400 grams
    • Concentration = 30%
    • Amount of sugar = Weight × Concentration = 400 grams × 0.30 = 120 grams

  3. Calculate the total amount of sugar in the mixture:

    • Total sugar = sugar from 20% syrup + sugar from 30% syrup
    • Total sugar = 20 grams + 120 grams = 140 grams

  4. Calculate the total weight of the mixture:

    • Total weight = weight of 20% syrup + weight of 30% syrup
    • Total weight = 100 grams + 400 grams = 500 grams

  5. Calculate the concentration of the resulting syrup:

    • Concentration = (Total sugar / Total weight) × 100%
    • Concentration = (140 grams / 500 grams) × 100% = 28%

Thus, the concentration of the resulting syrup is 28%.