Math Problem Statement

A vessel contains a mixture of liquid A and liquid B in the ratio of 11 : 14 respectively. Some of the mixture is withdrawn and some amount of liquid C is added and then the ratio of liquids A, B and C becomes 22: 28 : 19 respectively. After adding liquid C, the total amount of mixture in the vessel is 15 liters less than the initial amount of mixture. If the amount of liquid A taken out from vessel is 153 litres less than the amount of liquid C added to the vessel, then find the amount of liquid B (in litres) initially in the vessel

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Ratios
Linear Equations

Formulas

x/y = a/b
Total Amount Change = Initial Amount - Final Amount

Theorems

Proportional Relationships

Suitable Grade Level

Grades 10-12