# Solving Ratios Word Problems

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?"Suzy has eight pairs of red socks and six pairs of blue socks. If her little sister owns nine pairs of purple socks and loses two of Suzy's pairs, how many pairs of socks do the sisters have left?

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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.

Each word problem may require a different format, but a visual representation of the necessary information makes it easier to work with.

In the example, the question asks how many socks the sisters own together, so you can disregard the information about Mark. This eliminates much of the information and leaves you with only the total number of socks that the sisters started with and how many the little sister lost. For example, the words and phrases "sum," "more than," "increased" and "in addition to" all mean to add, so write in the " " symbol over these words.

In the example, you know by adding up all the numbers for the sisters that you have a maximum of 23 socks.

Since the problem mentions that the little sister lost two pairs, the final answer must be less than 23.You can answer even the most complex word problems, provided you understand the mathematical concepts addressed.While the degree of difficulty may change, the way to solve word problems involves a planned approach that requires identifying the problem, gathering the relevant information, creating the equation, solving and checking your work.Exponents and roots come first, then multiplication and division, and finally addition and subtraction.Check if your answer makes sense with what you know.Now, multiply by $n$ which is the number of gallons of orange paint you want to make. So, making $n$ gallons of orange paint require mixing $\frac$ gallons of yellow paint and $\frac$ gallons of red paint. Question 3: Given ratio are- a:b = 2:3 b:c = 5:2 c:d = 1:4 Find a:b:c.Word problems often confuse students simply because the question does not present itself in a ready-to-solve mathematical equation.Divide these numbers by 6 in order to come back to one gallon of orange paint.Then, one gallon of orange paint is made mixing $\frac=\frac$ gallons of yellow paint and $\frac=\frac$ gallons of red paint.

## Comments Solving Ratios Word Problems

• ###### How do you solve ratio's word problems

The rules for solving word problems are read the problem, decide what you need to do, solve the problem, and check your the ratio and make that the denominator of the proportion and cross multiply. A proportion will help you solve problems like the one below.…

• ###### Solving Math Word Problems explanation and exercises

There are two steps to solving math word problems Translate the wording into a numeric equation that combines smaller "expressions"the problem entirely Get a feel for the whole problem. List information and the variables you identify Attach units of measure to the variables gallons, miles.…

• ###### 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.…

• ###### 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.…