Using Proportions To Solve Word Problems

Using Proportions To Solve Word Problems-83
We can divide both sides of the equation by the same number, without changing the meaning of the equation.When we divide both sides by 20, we find that the building will appear to be 75 feet tall.

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.

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.

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. The following proportion is read as "twenty is to twenty-five as four is to five." In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion.To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.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.Thus; x : y : z = 4/5 : 1 : 7/6 = (4/5 × 30) : (1 × 30) : (7/6 × 30), [Multiply all the terms by the L. The ratio of the length to the width of a sheet of paper is 3 : 2. Solution: Let the width of the sheet of paper be x cm The length of the sheet of paper be 12 cm.(Given)According to the given statement, 12 : x = 3 : 2⇒ x × 3 = 12 × 2, [Since, the product of the means = the product of the extremes]⇒ x = (12 × 2)/3⇒ x = 8Therefore, the width of the sheet of paper is 8 cm.7.To practice Math skills, there is nothing more effective than solving worksheets.Our free to download, printable worksheets help you practice Math concepts, and improve your analytical and problem-solving skills.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.


Comments Using Proportions To Solve Word Problems

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