Problem Solving With Ratio And Proportion

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.

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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.

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Solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation.

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.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%. 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.(i) We also note that, 8 × 30 = 20 × 12 Hence, 8 : 20 = 12 : 30 ………..(ii) (I) can also be written as 12 × 20 = 8 × 30 Hence, 12 : 8 = 30 : 20 ………..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. 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.

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