How To Solve Ratio Math Problems

How To Solve Ratio Math Problems-57
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.Now, there is 4 12 = 16 L of bleach in 16 L of water in a total of 32 L of solution. Solution: For this type of problems, first step is to determine how much each of the items is above or below the target.

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.Now, there is 4 12 = 16 L of bleach in 16 L of water in a total of 32 L of solution. Solution: For this type of problems, first step is to determine how much each of the items is above or below the target.

He gives a two step approach to solve an equality of two fractions in which the value of a variable in unknown.

He says that in the first step we should cross multiply the numbers across the diagonal.

With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to work with ratios and find solutions to simple ratio problems in basic arithmetic.

In this tutorial the instructor shows how to solve ratios and proportions.

Let the quantity of sugar solution to be added be x litres.

Setting up the proportion, sugar solution / salt solution = (15 x)/30 = 2/1 → x = 45.

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.

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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