6(a)
Given the ratio of two quantities in the form of $2 : 6 : 3$ - Edexcel - GCSE Maths - Question 6 - 2022 - Paper 1
Question 6
6(a)
Given the ratio of two quantities in the form of $2 : 6 : 3$.
Express the ratio in simplest form.
6(b)
Express all numbers in terms of one number.
If... show full transcript
Worked Solution & Example Answer:6(a)
Given the ratio of two quantities in the form of $2 : 6 : 3$ - Edexcel - GCSE Maths - Question 6 - 2022 - Paper 1
Step 1
Express the ratio in simplest form.
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Answer
To simplify the ratio 2:6:3, we first look for the greatest common divisor (GCD) of the numbers involved. The GCD of 2, 6, and 3 is 1. Therefore, the ratio is already in its simplest form as 2:6:3.
Step 2
Express all numbers in terms of one number.
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Answer
Given the equation x=a, we can express the other variables as follows:
For b, we can derive that b=32a.
For c, we can find that c=23a.
Thus, the expressions in terms of the variable a are: