Question

if x and y vary directly with each other and x=24, what is y when constant variation is 3

Answer 1

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Here is the solution:

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x and y vary directly for each other and given that the constant is 3

⇒ x = 3y

Find y when x = 24:

x = 3y

24 = 3y

3y = 24

y = 24 ÷ 3

y = 8

Answer: y = 8

Answer 2

$x \: = 3y \: (given) \\ \\ x = 24 \: (given) \\ \\ substitute \: the \: value \: of \: x \\ \\ 24 = 3y \\ \\ 3y = 24 \\ \\ y = \frac{24}{3} \\ \\ y = 8$