How many grams of water should you add to 170 grams of syrup containing 25% sugar to get a syrup containing 20% sugar?
| February 24, 2021 | education
1) Find how much sugar in syrup weighs.
We multiply the total mass of the syrup by the percentage of sugar content in it.
Will be:
170 * 25% / 100% = 170 * 0.25 = 42.5 grams.
2) Determine the new weight of the syrup.
To do this, we divide the known weight of sugar by the new percentage.
We get:
42.5 / 20% / 100% = 42.5 / 0.2 = 212.5 grams.
3) Find the weight of water to add to the initial syrup.
We subtract the initial weight from the new mass of syrup.
212.5 – 170 = 42.5 grams.
Answer: You need to add 42.5 g of water.
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