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

QAmmunity.org

My account
Edit my Profile
Private messages
My favorites

Ask a Question
Questions
Unanswered
Tags
Categories
Ask a Question

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

7.0k points

0 Comments

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

3 votes

Answer:

$5\ liters$

Explanation:

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