How To Solve A Ratio Problem

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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.

And we solve: Now we need to write the relations in the form of a fraction, in order to be able to find the unknown X. We need to reverse the inverse magnitude, therefore the denominator becomes the numerator and the numerator becomes the denominator.

A recipe for making 10 loaves of bread requires 24 cups of flour and 4 tablespoons of baking powder.

If 60kgs of this sweet has to be prepared, how much sugar is required?

Solution: Let the quantity of sugar required be x kgs. Therefore, 20 kgs of sugar is required for 60 kgs of sweet.Solution: Let the number of chocolates be 5x and the number of ice-cream cones be 8x. Therefore, number of ice-cream cones in the box = 8*6 = 48.A lot of questions on ratio are solved by using proportion. If a : b = c : d, then a, b, c, d are said to be in proportion and written as a:b :: c:d or a/b = c/d.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.a, d are called the extremes and b, c are called the means.For a proportion a:b = c:d, product of means = product of extremes → b*c = a*d.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. 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.

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