Question

If \( 0.764y = 1.236x \), then what is the value of \( \left( \frac{y - x}{y + x} \right) \)?

• A. 0.764
• B. 0.236
• C. 2
• D. 0.472

Hint:

When given a ratio equation, isolate the ratio and assume simple proportional values for easy substitution.

Answer 1

The Correct Option is B

Given: \[ 0.764y = 1.236x \Rightarrow \frac{y}{x} = \frac{1.236}{0.764} = \frac{1236}{764} \] Divide numerator and denominator by 4: \[ \frac{1236}{4} = 309, \quad \frac{764}{4} = 191 \Rightarrow \frac{y}{x} = \frac{309}{191} \] Let \( y = 309 \), \( x = 191 \) Now compute: \[ \frac{y - x}{y + x} = \frac{309 - 191}{309 + 191} = \frac{118}{500} = \boxed{0.236} \]