Problem Solving With Ratio And Proportion

Problem Solving With Ratio And Proportion-86
However, a model was used for the beetle that was really only 20 inches long.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.If you're behind a web filter, please make sure that the domains *.and *.are unblocked.

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When a sum of money was equally distributed among 49 children, each child received Rs. If the same amount is equally distributed among children, such that each child gets Rs. The ratio of the first and second-class fares between the two stations is 6 : 4 and the number of passengers traveling by first and second-class is 1 : 30. 2100 is collected as fare, what is the amount collected from first class passengers?

Option D Amount of acid in the 1st solution = 0.25 × 200 = 50 g.

Be sure that students are familiar with the concept of ratios, proportions, and the Cross Product Property.

Worked out problems on ratio and proportion are explained here in detailed description using step-by-step procedure. Solution: Let the number of 50 p, 25 p and 20 p coins be 2x, 3x and 4x.

Since x is multiplied by 20, we can use the "inverse" of multiplying, which is dividing, to get rid of the 20.

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We can divide both sides of the equation by the same number, without changing the meaning of the equation.Divide 0 into three parts such that second part is 1/4 of the third part and the ratio between the first and the third part is 3 : 5. Solution: Let the first and the third parts be 3x and 5x. = (1/4) × 5x = 5x/4 Therefore, 3x (5x/4) 5x = 370 (12x 5x 20x)/4 = 370 37x/4 = 370 x = (370 × 4)/37 x = 10 × 4 x = 40 Therefore, first part = 3x = 3 × 40 = 0 Second part = 5x/4 = 5 × 40/4 = Third part = 5x = 5 × 40 = $ 200 10. More worked out problems on ratio and proportion using step-by-step explanation. Set up all possible proportions from the numbers 8, 12, 20, 30.The first, second and third terms of the proportion are 42, 36, 35. Solution: We note that 8 × 30 = 240 and 12 × 20 = 240 Thus, 8 × 30 = 12 × 20 ………..(I) Hence, 8 : 12 = 20 : 30 ………..12 kg of the first alloy was melted together with 8 kg of the second one to form a third alloy. A proportion is simply a statement that two ratios are equal.The exercise set will probably start out by asking for the solutions to straightforward simple proportions, but they might use the "odds" notation, something like this: Okay; this proportion has more variables than I've seen previously, and they're in expressions, rather than standing by themselves. First, I convert the colon-based odds-notation ratios to fractional form: First, I'll need to convert the "two feet four inches" into a feet-only measurement.Since one foot contains twelve inches, then four inches is four-twelfths, or one-third, of a foot.Solution: Let the number to be added be x, then (2 x) : (3 x) = 4 : 5 ⇒ (2 x)/(5 x) = 4/5 5(2 x) = 4(3 x) 10 5x = 12 4x 5x - 4x = 12 - 10 x = 2 7. If Maria got 0, find the total amount and the money received by Ron and Sam.Solution: Let the money received by Ron, Sam and Maria be 2x, 3x, 5x respectively. Therefore, 5x = 150 or, x = 150/5 or, x = 30 So, Ron got = 2x = $ 2 × 30 = Sam got = 3x = 3 × 60 = Therefore, the total amount $(60 90 150) = 0 9. Product of extreme terms = 42 ×x Product of mean terms = 36 X 35 Since, the numbers make up a proportion Therefore, 42 × x = 36 × 35 or, x = (36 × 35)/42 or, x = 30 Therefore, the fourth term of the proportion is 30.Therefore, number of 50 p coins, 25 p coins and 20 p coins are 400, 600, 800 respectively. If 2A = 3B = 4C, find A : B : C Solution: Let 2A = 3B = 4C = x So, A = x/2 B = x/3 C = x/4 The L. M of 2, 3 and 4 is 12 Therefore, A : B : C = x/2 × 12 : x/3 × 12 : x/4 = 12 = 6x : 4x : 3x = 6 : 4 : 3 Therefore, A : B : C = 6 : 4 : 3 6. Solution: Length of ribbon originally = 30 cm Let the original length be 5x and reduced length be 3x.What must be added to each term of the ratio 2 : 3, so that it may become equal to 4 : 5? But 5x = 30 cm x = 30/5 cm = 6 cm Therefore, reduced length = 3 cm = 3 × 6 cm = 18 cm More worked out problems on ratio and proportion are explained here step-by-step. Mother divided the money among Ron, Sam and Maria in the ratio 2 : 3 : 5.

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