Using Proportions To Solve Word Problems

Using Proportions To Solve Word Problems-50
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.

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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.

Example: If a car gets 20 miles to the gallon, how many gallons of gas will it use to travel 180 miles?

We will learn how to solve word problems using proportion. If x : y = 4 : 5 and y : z = 6 : 7; find x : y : z.

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.

If yes write them in proper form.(i) 32, 48, 140, 210; (ii) 6, 9, 10 and 16Solution:(i) 32, 48, 140, 210 32 : 48 = 32/48 = 2/3 = 2 : 3140 : 210 = 140/210 = 2/3 = 2 : 3So, 32 : 48 = 140 : 210Therefore, 32, 48, 140, 210 are in proportion.i.e., 32 : 48 :: 140 : 210 5.We have 3 worksheets for each topic in the tutorial.This video shows the method to solve word problems using proportions. We type '30 words' in the numerator of the first fraction and 1 minute in its denominator.A proportion is simply a statement that two ratios are equal.It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d.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.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.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.


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