Rate and Ratio and Simultaneous Equations in Two Unknown

# Rate and Ratio and Simultaneous Equations in Two Unknown -...

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1 Rate and Ratio Simultaneous Equations in Two Unknowns Form 2 1. Definition of rate: a comparison of two different kinds of quantities by division. A unit must be stated . e.g. Rate of typing: 60 words / min; Rate of travelling Definition of ratio: a comparison of two quantities of the same kind by division. No unit is stated in ratio . e.g. Ratio of 1.5 hours to 40 minutes “ A to B” A must be the numerator and B must be the denominator . 2. Question type 1: Simplification of ratios Example 1: Simplify 4 :12 5 Solution: 4 :12 5 = 4 12 : 51 = 4 12 5: 5  = 20 : 60 = 1 : 3 Example 2: Simplify 1.7 : 1 2 3 Solution: 1.7 : 1 2 3 = 17 7 : 10 3 = 17 7 30: 30 10 3 = 51 : 70 Example 3: Simplify 25 cm 2 : 6 m 2 Solution: Observe that the units are different 25 cm 2 : 6 m 2 = 25 cm 2 : 60000 cm 2 = 1 : 2400 Copy the questions again Find the L.C.M of the denominator Multiply the two ratio by the L.C.M Express the ratio in the simpliest form Copy the questions again Express the answer in fractions first Find the L.C.M of the denominator Change them into the same unit 1 m 2 = 1 m 1 m

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Rate and Ratio and Simultaneous Equations in Two Unknown -...

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