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

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asked Sep 5, 2021 44.4k views

3 votes

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

Mathematics
middle-school

Nasta asked

by Nasta

6.9k points

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1 Answer

3 votes

Answer:

$5\ liters$

Explanation:

$Sugar\ in\ the\ syrup=40\%\\\\40\%\ of\ 15\ ltrs =(40)/(100)* 15=6\ ltrs\\\\Now\ we\ have\ to\ obtain\ 30\%\ sugar\ syrup. Let\ total\ quantity\ of\ syrup=x\\\\30\%\ of\ x=6\\\\(30)/(100)* x=6\\\\0.3* x=6\\\\x=(6)/(0.3)\\\\x=20\ ltrs\\\\The\ amount\ of\ water\ to\ be\ added =20-15=5\ liters$