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ArbitrLikvidat [17]
3 years ago
8

How many liters of water must be added to 15 liters of 40 % sugar syrup to obtain 30 % sugar syrup?

Mathematics
1 answer:
RideAnS [48]3 years ago
6 0

Answer:

5 L of water should be added

Step-by-step explanation:

Let x L is the amount of water needed to be added.

<u>40% sugar syrup:</u>

Amount of syrup = 15 L

Amount of sugar =15\cdot 0.4=6 L

<u>30% sugar syrup:</u>

Amount of syrup = 15 + x L

Amount of sugar =(15+x)\cdot 0.3 L

Amounts of sugar are the same (we didn't add sugar, only water), then

0.3(15+x)=6\\ \\3(15+x)=60\\ \\45+3x=60\\ \\3x=60-45\\ \\3x=15\\ \\x=5\ L

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