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15 votes
15 votes
How much Water do you add to make each concentration 1% sugar syrup using 12 g sugar I saw the other answers were 33 but they were incorrect please help me

User Woland
by
3.1k points

2 Answers

12 votes
12 votes

Answer: 1188 grams of water

Explanation:

Sugar = 1% = 12

Whole = 100% = 12·100 = 1200

Water = 99% = 1200 - 12 = 1188

You Need 1188 Grams Of Water To Make The Solution 1% Sugar

User Benjamin Barrois
by
2.8k points
21 votes
21 votes

Answer:

1188 grams

Explanation:

You want the 12g of sugar to be 1% of the whole solution.

So, say you add grams of water. The solution will be composed of 12 grams of sugar and grams of water, for a total of grams.

So, the ratio "sugar/total" will be

and we want this ratio to be 1%, i.e. 1/100:

Multiply both sides by 100 and to get

Subtract 12 from both sides:

So, a solution composed of 1188 grams of water and 12 grams of sugar will be 99% water and 1% sugar.

User Akshaya Pandey
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2.8k points