Solving Word Problems With Proportions

Solving Word Problems With Proportions-14
Similar to Problem 1, you can express the speed of the car as the ratio of the traveled distance of 130 miles to the time spent of 2 hours. Now, calculate the time required for the car to make 227.5 miles.You can express the speed of the car in another way as the ratio dividing the distance of miles by the unknown time . The time required for the car to travel 227.5 miles is 3.5 hours if it was moving with the same speed. To do this, simply divide the distance of 227.5 miles to the car speed, 65 miles per hour. The consumed fuel rate depends on the car model and on the number of other conditions such as the car speed, the road slope and so on.You can express the same price in another way as the ratio of the unknown cost of 270 copies to that number of copies. The cost of 270 copies at the Copy Center is 40 dollars 50 cents.

You can express the same distance in another way as the ratio dividing the distance value of miles by the unknown amount of gasoline .

Since the driving conditions are the same, both these ratios represent the same number. The amount of the gasoline is 7 gallons for the car trip of 227.5 miles.

Solution 2 You can solve the same problem differently. To do this, divide the distance traveled by the car during two hours (130 miles) by the time spent (2 hours).

You will get miles per hour as the value of the car speed.

Since both ratios represent the same speed, you can write the equality of these ratios: .

This is the proportion with the unknown extreme term.

You can express the speed of the car as the ratio where the numerator is the traveled distance, and the denominator is the time spent.

You can express the speed of the car in another way as the ratio dividing the unknown distance by the time spent of 4.5 hours.

(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.

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.

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