Question

c. \\(\frac{1}{2}x = 50 - \frac{3}{4}x\\)

Explanation:

Write down the equation

$$ \frac{1}{2}x = 50 - \frac{3}{4}x $$

Add 3/4x to both sides

$$ \frac{1}{2}x + \frac{3}{4}x = 50 $$

$$ \frac{2}{4}x + \frac{3}{4}x = 50 $$

$$ \frac{5}{4}x = 50 $$

Multiply both sides by 4/5

$$ x = 50 \cdot \frac{4}{5} $$

$$ x = 10 \cdot 4 $$

$$ x = 40 $$

Answer:

\(x = 40\)