Problem

Q2: If the average of \( 5 x \) and \( 3 y \) is equal to \( 50 \% \) of \( 6 y \), what is the value of \( \frac{x}{y} \) ?
a) \( \frac{1}{5} \)
b) \( \frac{2}{3} \)
c) \( \frac{3}{5} \)
e) None of the above

Answer

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Answer

\( \frac{x}{y} = \frac{3}{5} \)

Steps

Step 1 :\( \frac{5x + 3y}{2} = \frac{1}{2} (6y) \)

Step 2 :\( 5x + 3y = 6y \)

Step 3 :\( \frac{x}{y} = \frac{3}{5} \)

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