Question

In the algebraic expression, $11x-\frac{88}{8}=\frac{180}{9}\times 12+12$, the value of unknown is

• A. $\frac{241}{11}$
• B. $\frac{11}{241}$
• C. $\frac{241}{12}$
• D. $\frac{240}{10}$

Answer 1

The correct option is A $\frac{241}{11}$

Given, $11x-\frac{88}{8}=\frac{180}{9}\times 12+12$
$\underset{–}{\text{Let's solve for}x\text{:}}$
Simplify each side of the equation as much as possible.
$\Rightarrow 11x-\frac{88}{8}=\frac{180}{9}\times 12+12$
$\Rightarrow 11x-11=20\times 12+12$

$(\because \frac{88}{8}=11;\frac{180}{9}=20)$

$\Rightarrow 11x-11=252$

Add 11 to both sides of the equation
$\Rightarrow 11x-11+11=252-11$
$\Rightarrow 11x=241$
$x=\frac{241}{11}(\because \text{bring 11 as a reciprocal to the RHS}$
​​​​​​​
Hence, the value of $x$ is $\frac{241}{11}$