Question

$100\frac{1}{2}-x=92\frac{3}{4}$ .The value of x is

• A. $9\frac{1}{4}$
• B. $8\frac{1}{4}$
• C. $8\frac{1}{3}$
• D. $7\frac{3}{4}$

Answer 1

Answer: (D)

$7\frac{3}{4}$

$100\frac{1}{2}-x=92\frac{3}{4}\Rightarrow \frac{201}{2}-x=\frac{371}{4}$
$\Rightarrow x=\frac{201}{2}-\frac{371}{4}=\frac{402-371}{4}$
$\Rightarrow x=\frac{31}{4}=7\frac{3}{4}$