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3 years ago

How much water should we add to 35 kg of sugar syrup to change its concentration from 30% to 25%?

Mathematics

1 answer:

Otrada [13]3 years ago

5 0

35kg - a mass of sugar syrup

30% of 35kg it's a mass of sugar

30% = 30 : 100 = 0.3

30% of 35kg = 0.3 · 35kg = 10.5kg - a mass of sugar

Add xkg water. Then we have (35 + x)kg of sugar syrup and still 10.5kg of sugar.

10.5kg is 25% of (35 + x)kg .

(35 + x) -- 100%

10.5 -- 25% <em>multiply both sides by 4</em>

42 -- 100%

Therefore we have the equation:

35 + x = 42 <em>subtract 35 from both sides</em>

x = 7

<h3>Answer: We should add 7kg of water.</h3>

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