Question

Which value of x makes the equation $\frac{8}{5}(x+\frac{33}{12})=16$ true?

• A. $7.25$
• B. $8.75$
• C. $12.75$
• D. $13.25$

Answer 1

The correct option is A $7.25$

$\frac{8}{5}(x+\frac{33}{12})=16$

$\Rightarrow$ $\frac{8}{5}(x+\frac{11}{4})=16$

$\Rightarrow$ $\frac{8}{5}(x+2.75)=16$

Multiplying both sides by $\frac{5}{8}$ we get,

$\Rightarrow$ $x+2.75=10$

$\Rightarrow$ $x=10-2.75$

$\Rightarrow$ $x=7.25$

$\therefore$ Required answer is $7.25$