Question

Which of the following gives the numerical expression for the statement "Twice the sum of half and twelve is added to one fourth of the sum of five and three fourths"?

• A. $2(\frac{1}{2}+12)+(5-\frac{3}{4})$
• B. $2(\frac{1}{2}+12)+\frac{1}{4}(5+\frac{3}{4})$
• C. $2(\frac{1}{2}+12)+(5+\frac{3}{4})$
• D. $(2\frac{1}{2}-12)+\frac{1}{4}(\frac{3}{4}-5)$

Answer 1

The correct option is B $2(\frac{1}{2}+12)+\frac{1}{4}(5+\frac{3}{4})$

Given statement is
"Twice the sum of half and twelve is added from one fourth of sum of five and three fourth"

$\text{Sum of half and twelve is}(\frac{1}{2}+12)$

So, we can express "Twice the sum of half and twelve" as:
$2(\frac{1}{2}+12)$

Then, we have to add "one fourth of sum of five and three fourth"

The expression for this statement is:
$\frac{1}{4}(5+\frac{3}{4})$

Hence, the required numerical expression is:
$2(\frac{1}{2}+12)+\frac{1}{4}(5+\frac{3}{4})$