My Math Forum  

Go Back   My Math Forum > High School Math Forum > Elementary Math

Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion


Reply
 
LinkBack Thread Tools Display Modes
April 13th, 2018, 02:14 AM   #1
Senior Member
 
Joined: Aug 2014
From: India

Posts: 310
Thanks: 1

When should we draw alligations diagram?

1) Two vessels A and B contains 80% and 75% of alcohol respectively. Ten litres of solution from A is mixed with 20 litres of solution from B. What is the ratio of alcohol of water in the mixture?

Solution: Quantity of alcohol in the mixture

= $10\dfrac{80}{100} + 20\dfrac {75}{100}$

= 8 + 15 = 23 litres.

30 - 23 = 7 litres

The ratio of alcohol to water in the mixture = 23 : 7.

2) A Certain variety of rice which costs 32 /- per kg is mixed with 12 kg of another variety of rice which costs 40 per kg and the mixture is sold at 49 per kg gaining a profit of 40%. Find the quantity of the mixture.

Solution: Let the cost price of the mixture per kg be C.

$C\times\dfrac {100+40}{100} = 49$

C = 35



So the ratio of the quantities of the first variety that of the second variety = 5: 3

The quantity of mixture = $\displaystyle 12\times\dfrac{8}{3} = 32$

In first problem, alligations diagram is not drawn but in second problem, it is drawn. please tell when should we draw alligations diagram?

Last edited by Ganesh Ujwal; April 13th, 2018 at 02:21 AM.
Ganesh Ujwal is offline  
 
Reply

  My Math Forum > High School Math Forum > Elementary Math

Tags
alligations, diagram, draw



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
If you draw two cards, draw one and then put it back, what is the prob.... mepoom Probability and Statistics 1 September 12th, 2014 04:54 PM
Lest draw a bit! redorion Elementary Math 2 July 8th, 2013 09:54 AM
How to draw a Venn diagram of ((a=>b)=>a)=>a? AINtKpkC3BBNn Applied Math 0 October 2nd, 2011 08:16 PM
How I can draw ?? r-soy Physics 7 April 4th, 2011 03:10 PM
please help to draw it..... khalidd Algebra 3 September 5th, 2010 12:41 PM





Copyright © 2018 My Math Forum. All rights reserved.