How To Solve A Ratio Problem

Let us take a look at some examples: Question: In a mixture of 45 litres, the ratio of sugar solution to salt solution is 1:2.What is the amount of sugar solution to be added if the ratio has to be 2:1?

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For instance, the ratio of number of boys in a class to the number of girls is 2:3.

Here, 2 and 3 are not taken as the exact count of the students but a multiple of them, which means the number of boys can be 2 or 4 or 6…etc and the number of girls is 3 or 6 or 9… It also means that in every five students, there are two boys and three girls.

Question: In a certain room, there are 28 women and 21 men. What is the ratio of women to the total number of people?

Solution: Men : women = 21 : 28 = 3:4 Women : total number of people = 28 : 49 = 4 : 7 Question: In a group, the ratio of doctors to lawyers is 5:4.

Assuming you have the method down, the only reason to get this wrong is a careless arithmetic error.

For those of you making these errors, I hope you're starting to see why it's a better use of your limited test taking time to double check your work on the medium questions than to rip your hair out and spend a lot of time trying to puzzle out the hardest questions which very few people can answer.In the 20th Smart Method in this series of blog posts we will discuss a trick that will help you solve ratio and proportion problems without using the long list of ratio and proportion formulas, that too in only 5 seconds!The school book approach to this question uses the ratio and proportion formulas and starts with assuming T (or any other variable) as the total and then dividing it based on the relative division of the quantity between the quantities.In today’s post we’re going to take a look at the compound rule of 3, but first we need to remind ourselves about the simple rule of 3.I’ve selected some previous posts that you can look at if you need to: As you already know, the simple rule of 3 is related to two proportional magnitudes. The difference between the simple rule of 3 and the compound rule of 3 is that the first relates two magnitudes, and the second relates three or more magnitudes.If the proportions in this recipe are to be used to make 3 loaves of bread, how many cups of flour will be needed?(Do not round your answer) METHOD: RATIO table This should be fairly easy if you use the method we have practiced.If the number of ‘A’ blocks is 50 more than the number of ‘C’ blocks, what is the number of ‘B’ blocks?Solution: Let the number of the blocks A, B, C, D be 4x, 7x, 3x and 1x respectively 4x = 3x 50 → x = 50. Question: If the ratio of chocolates to ice-cream cones in a box is 5:8 and the number of chocolates is 30, find the number of ice-cream cones.Although in this post we’re only going to solve problems involving 3 magnitudes, the method of solving problems involving more magnitudes is the same.The three magnitudes that we have in the problem are: bottles, liters, and kilos.

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