# Using Proportions To Solve Word Problems The length and breadth of a rectangle are in the ratio 5 : 4. Solution: Let the breadth of the rectangle be x cm Then, 5 : 4 :: 80 : x⇒ 5/4 = 80/x To get 80 in the numerator, we have to multiply 5 by 16. 4 by 16Thus, 5/4 = 80/(4 × 16) = 80/64So, x = 64Hence, breadth of the rectangle = 64 cm.From, the above word problems using proportion we get the clear concept how to find whether the two ratios form a proportion or not and word problems.If four numbers p, q, r and s are in proportion, then p and s are called the extreme terms and q and r are called the middle terms. p × s) is equal to the product of middle terms (i.e. Solution:x : y = 4 : 5 = 4/5 : 1, [Dividing each term by 5]y : z = 6 : 7 = 1 : 7/6, [Dividing each term by 6]In both the given ratios, the quantity y is common, so we have made the value of y same i.e., 1. of 5 and 6 i.e., 30] = 24 : 30 : 35Therefore, x : y : z = 24 : 30 : 356.

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A 30-inch tall model building was also used in the movie. First, write the proportion, using a letter to stand for the missing term.

We find the cross products by multiplying 20 times x, and 50 times 30. Study this step closely, because this is a technique we will use often in algebra.

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We are trying to get our unknown number, x, on the left side of the equation, all by itself.

Since x is multiplied by 20, we can use the "inverse" of multiplying, which is dividing, to get rid of the 20.In the given problem, we have to find the time taken by a person to type 390 words if the person takes 1 minute to type 30 words. This fraction must be proportional to the second fraction.The second fraction has '390 words' in the numerator and the variable 'x' to represent the time which we have to find. This tutorial shows you how to use a proportion to solve! The idea of proportions is that a ratio can be written in many ways and still be equal to the same value.That's why proportions are actually equations with equal ratios.Sam tried using a ladder, tape measure, ropes and various other things, but still couldn't work out how tall the tree was. That is OK, you simply have twice as many stones as the number in the ratio ...so you need twice as much of everything to keep the ratio.This can be written as (30 words)/(1 minute)=(390 words)/(x minutes). Related Topics: More Lessons for Grade 9 Math Math Worksheets Videos, worksheets, solutions, and activities to help Algebra students learn how to solve word problems that involve proportions.We can also use cross products to find a missing term in a proportion. In a horror movie featuring a giant beetle, the beetle appeared to be 50 feet long.However, a model was used for the beetle that was really only 20 inches long.

## Comments Using Proportions To Solve Word Problems

• ###### How to Solve word problems using proportions « Math.
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This video shows the method to solve word problems using proportions. In the given problem, we have to find the time taken by a person to type 390 words if the person takes 1 minute to type 30 words. This can be solved using proportions. We take two fractions which are equal. We type '30 words' in the numerator of the first fraction and 1.…

• ###### Step-by-Step Math Problem Solvers for Proportions Sciencing
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The pre-algebra concept of proportions builds upon knowledge of fractions, ratios, variables and basic facts. Solving proportions requires finding the unknown numeric value of a variable within a set of ratios that are being compared. You can use step-by-step techniques to clarify and solve proportion problems…

• ###### Ratio Word Problems solutions, examples, videos
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Ratio Word Problems relating different things using ratios and algebra, how to solve ratio word problems that have two-term ratios or three-term ratios, examples and step by step solutions, How to solve proportion word problems, questions and answers…

• ###### Using proportions to solve word problems - uk
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The public must show extra caution with fireworks and bonfires after the loss of 500 firefighters in England in the last year has left services struggling, their union said.…

• ###### Percent and Proportions Math Goodies
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Now that we have solved a number of percent problems using proportions, we can go back to the type of problem presented at the beginning of this lesson In Problems 8 through 10 we will solve real world problems, using different variables to represent the unknown quantity in each problem.…

• ###### Free proportion worksheets for grades 6, 7, and 8
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Create proportion worksheets to solve proportions or word problems e.g. speed/distance or cost/amount problems. Available both as PDF and html files. Other options include using whole numbers only, numbers with a certain range, or numbers with a certain number of decimal digits.…

• ###### Solving Proportion Word Problems
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Solving Proportion Word Problems Answer each question and round your answer to the nearest whole number. 1 Totsakan enlarged the size of a photo to a height of 18 in. What is the new width if it was originally 2 in tall and 1 in wide? 2 A frame is 9 in wide and 6 in tall. If it is reduced to a width of 3 in then how tall will it be? 3 The money used in Saudi Arabia is called the Riyal. The.…

• ###### How to Solve math problems using proportions « Math.
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Proportions or ratios are fundamental concepts of mathematics. A proportions is an equation that states that two ratios are equal. Hence proportion can be written in two ways as ab=cd or a/b=c/d. In these equations a and d are called as extremes and b,c are called as means. So when working with proportions we can state that product of the.…

• ###### Using Proportions to Solve Problems - SlideShare
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Using Proportions to Solve Problems 1. Using Proportions to solve Problemsbr /Many application problems can be easily solved using proportions.br /…

• ###### Word Problems Proportions - AlgebraLAB
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A proportion sets two ratios equal to each other. In one ratio, one of the quantities is not known. You then use cross multiplication and solve the equation for the missing value.…