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Note that in these expressions A represents the total amount of mixture A and B represents the total amount of mixture B.Because these expressions both represent the total amount of bleach, we can set them equal to each other. The ratio of A to B can be solved as follows: .2A .05B = .1(A B) .2A .05B = .1A .1B .1A = .05B A/B = .05 / .1 A/B = 1 / 2 Now try answering the following question below to see how you do with mixture problems on your own: Two brands of detergent are to be combined.Although there are multiple types of mixture problems in algebra, they all follow the same basic solving process.
In each of the following practice problems, we will use the four steps listed above as a guide to help us solve the problem.
Suppose you have a jug of 120 ounces of juice that is 20% pure apple juice and the rest is water.
Both sides of your equation will represent the amount of bleach in the combined mixture.
On one side you will represent the amount of bleach in terms of the individual mixtures. On the other side of the equation you will represent the amount of bleach overall, which is .1(A B).
This is a complex question, but there is a straightforward solution. In other words, some amount of a 20% bleach mixture plus some amount of a 45% bleach mixture will balance each other out to a 35% bleach mixture.
We are creating a new mixture from two others, X and Y. Because this involves finding a particular balance between Detergents X and Y, you can use the balance approach to solve.Detergent X contains 20 percent bleach and 80 percent soap, while Detergent Y contains 45 percent bleach and 55 percent soap.If the combined mixture is to be 35 percent bleach, what percent of the final mixture should be Detergent X?First, there are mixture problems that ask you to alter the proportions of a single mixture.These questions could, for example, tell you that you have a 200 liter mixture that is 90% water and 10% bleach and ask how much water you would need to add to make it 5% bleach.2.) Use the information given in the problem to create an equation involving that variable.3.) Use algebra to solve the equation for the variable. We want to look at multiple examples to practice solving mixture problems.Mixture problems show up frequently on the Quantitative section of the GMAT and fall into two basic categories.As each type of mixture question will be approached in fairly different ways, it is important that you know the difference between them.The other type of mixture problem will ask you to combine two mixtures.For example, you could be told that mixture A is 20% bleach and 80% water, while mixture B is 5% bleach and 95% water.