How To Solve Ratio Math Problems

And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test).

3 kgs of sugar added to 6 kgs of flour constitutes a total of 9 kgs of sweet. We need to find the quantity of sugar required for 60 kgs of sweet. Question: If a 60 ml of water contains 12% of chlorine, how much water must be added in order to create a 8% chlorine solution?

Solution: Let x ml of chlorine be present in water.

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.

Then, 12/100 = x/60 → x = 7.2 ml Therefore, 7.2 ml is present in 60 ml of water. So in order to get a 8% chlorine solution, we need to add 90-60 = 30 ml of water.

In order for this 7.2 ml to constitute 8% of the solution, we need to add extra water. Question: There is a 20 litres of a solution which has 20% of bleach.

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 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.