# Solving Ratios Word Problems Exponents and roots come first, then multiplication and division, and finally addition and subtraction.

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Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Question: how many gallons of yellow paint, and how many gallons or red paint, to make two gallons of orange paint? However, in this section of the text book, I'm not sure that it's "allowed" to do any of that.

Visit Stack Exchange Four gallons of yellow paint plus two gallons of red paint make orange paint. Is it possible to solve this just with cross-multiplying a ratio?

When two ratios are equal in value, then they are said to be in proportion. The two terms ‘b’ and ‘c’ are called ‘means or mean term,’ whereas the terms ‘a’ and ‘d’ are known as ‘extremes or extreme terms.’ Let us consider one more example of a number of students in a classroom. Thus, multiplying the first ratio by c and second ratio by b, we have First ratio- ca:bc Second ratio- bc: bd Thus, the continued proportion can be written in the form of ca:bc:bd Ratio and Proportion Tricks With Example Questions Question 1: Are the ratios 4:5 and said to be in Proportion?

Our first ratio of the number of girls to boys is 3:5 and that of the other is 4:8, then the proportion can be written as 3 : 5 :: 4 : 8 or 3/5 = 4/8 Here 3 & 8 are the extremes, while 5 & 4 are the means. Then in order to find the continued proportion for the two given ratio terms, we convert the means to a single term/number. Solution: 4:5= 4/5 = 0.8 and 8: 10= 8/10= 0.8 Since both the ratios are equal, they are said to be in proportion.

In the following example, the question asks you to determine the total number of socks between the two sisters.

The unit of measurement for this problem is pairs of socks.

Using common sense, estimate an answer and see if you come close to what you expected.

If the answer seems absurdly large or too small, search through the problem to find where you went wrong.

Subtract the two missing pairs for a final equation of (8 6 9) - 2 = n, where n is the number of pairs of socks the sisters have left.

Using the equation, solve the problem by plugging in the values and solving for the unknown variable.

## Comments Solving Ratios Word Problems

• ###### Learn how to solve some interesting ratio word problems.

Although the problem does not say to find the ratio, it is a ratio word problem. K-12 tests, GED math test, basic math tests, geometry tests, algebra tests. Tough Algebra Word Problems. If you can solve these problems with no help, you must be a genius!…

• ###### Solving Word Problems with Ratios and Proportions

Want to know something exciting? I taught ratios and proportions in Algebra 1 without once mentioning cross multiplying. Two kids brought it up as an option, but I quickly told them that there was a way to do these problems without cross multiplication.…

• ###### Ratios Word Problems - Formulae & Examples

Ratios Word Problems. Ratio is a mathematical concept that we use most frequently in day to day life. If you are out to buy groceries and you find that one pack of oats costs say6 A continued ratio is a ratio of three or more quantities. It can be written as \$abcde\$ Word Problems. Back to Top.…

• ###### Steps to Word Problem Solving Sciencing

Word problems often confuse students simply because the question does not present itself in a ready-to- solve mathematical equation. You can answer even the most complex word problems, provided you understand the mathematical concepts addressed. While the degree of difficulty may change, the.…

• ###### Word Problems Calculator Math Celebrity

This word problem lesson solves for a quantity of two coins totaling a certain value with a certain amount more or less of one coin than another. Solves a ratio word problem using a given ratio of 2 items in proportion to a whole number. Features Calculator Practice Problem GeneratorTags.…

• ###### Arithmetic - solve ratio word problem without algebra -

Four gallons of yellow paint plus two gallons of red paint make orange paint. I assume this makes six gallons. So the ratio is 42, or 21. Question how many gallons of yellow paint.…