PROBABILITY and RATIO word problem | 2022 | GCSE Higher Level | 1MA1/1H

Описание: In this question, we’ve been asked to determine the unknown part of a ratio by setting up and solving an algebraic equation based on the given probability of selecting a specific item.

Key Steps
1. Set up the probability fraction
2. Cross-multiply to clear the fractions
3. Simplify and isolate x

Key Points
1. Ratio of Sweets: Carmac has lime, strawberry, and orange flavoured sweets in the ratio 9:4:x.
2. Probability of Lime Sweet: The probability of randomly selecting a lime flavoured sweet is 3/7.
3. Value of x: The value of x, representing the number of orange flavoured sweets, is 8.

Key Skills
1. Connecting Ratio to Probability: Understanding that the total number of "parts" in a ratio acts as the denominator in a probability fraction.
2. Algebraic Manipulation: Knowing how to clear denominators and use inverse operations to isolate a variable.
3. Simplification Shortcuts: Recognizing that 63 is a multiple of 3 saves you from having to do harder multiplication (3 x 13) and subtraction later.

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