# Problem Solving With Ratio And Proportion Solution: Number of girls in the class = 18 Ratio of boys and girls = 4 : 3 According to the question, Boys/Girls = 4/5 Boys/18 = 4/5 Boys = (4 × 18)/3 = 24 Therefore, total number of students = 24 18 = 42. If you're seeing this message, it means we're having trouble loading external resources on our website.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.

Solution: Number of girls in the class = 18 Ratio of boys and girls = 4 : 3 According to the question, Boys/Girls = 4/5 Boys/18 = 4/5 Boys = (4 × 18)/3 = 24 Therefore, total number of students = 24 18 = 42. If you're seeing this message, it means we're having trouble loading external resources on our website.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.

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A collection of ratio problem solving questions I created for revision purposes - there’s a powerpoint version (for those short on printing) and a worksheet version.

Some questions I have created and some I have used/adapted from other places.

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.

Amount of acid in the 2nd solution = 0.4 × 300 = 120 g. ∴ Required concentration = 170 / (200 300) × 100 = 34%8.

In one alloy there is 60% gold in its total mass, while in another alloy it is 35%. When we divide both sides by 20, we find that the building will appear to be 75 feet tall.In this Activity Object, students will use problem solving strategies to figure out the maximum amount of cookies they could make with the available ingredients.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.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.Since x is multiplied by 20, we can use the "inverse" of multiplying, which is dividing, to get rid of the 20.We can divide both sides of the equation by the same number, without changing the meaning of the equation.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.

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