Solving Ratio Word Problems

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" is a big question having had by all the students who study quantitative aptitude to get prepared for competitive exams.

For some students, solving ratio word problems is never being easy and always it is a challenging one for any student.

For instance if one package of cookie mix results in 20 cookies than that would be the same as to say that two packages will result in 40 cookies.

$$\frac=\frac$$ A proportion is read as "x is to y as z is to w" $$\frac=\frac \: where\: y,w\neq 0$$ If one number in a proportion is unknown you can find that number by solving the proportion.

When we talk about the speed of a car or an airplane we measure it in miles per hour. A ratio is a way to compare two quantities by using division as in miles per hour where we compare miles and hours.

A ratio can be written in three different ways and all are read as "the ratio of x to y" $$x\: to\: y$$ $$x:y$$ $$\frac$$ A proportion on the other hand is an equation that says that two ratios are equivalent.

If 18 new girls are admitted in the school, find how many new boys may be admitted so that the ratio of the no.

Two years later when the price of the first has increased by 10% and that of the second by 7, the ratio of the prices becomes .

If there are two missing pieces of information in the word problem, two different ratio equations need to be set up.

These can then be solved by cross multiplying to find each missing variable.

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