Question

Which expression can represent 70% of x?

Answer 1

B would be the correct answer

Answer 2

Answer:

Option A is correct

$3(\frac{x}{4})-\frac{1}{2}(\frac{x}{10})$

Step-by-step explanation:

Given that:

70% of x.

⇒$\frac{70}{100} \times x$

⇒$\frac{7x}{10}$

Option A:

$3(\frac{x}{4})-\frac{1}{2}(\frac{x}{10})$

⇒$\frac{3x}{4}-\frac{x}{20}$

⇒$\frac{60x-4x}{80}$

⇒$\frac{56x}{80}$

Simplify:

⇒$\frac{7x}{10}$

Option B:

$3(\frac{x}{4})-(\frac{x}{10})$

⇒$\frac{3x}{4}-\frac{x}{10}$

⇒$\frac{30x-4x}{40}$

⇒$\frac{26x}{40}$

Simplify:

⇒$\frac{13x}{20}$

Option C:

$(\frac{x}{2})+(\frac{x}{10})$

⇒$\frac{6x}{10}$

Simplify:

⇒$\frac{3x}{5}$

Option D:

$(\frac{x}{2})+\frac{1}{2}(\frac{x}{4})$

⇒$\frac{x}{2}+\frac{x}{8}$

⇒$\frac{5x}{8}$

Therefore, only option which is equivalent to 70% of x is, Option A i.e  $3(\frac{x}{4})-\frac{1}{2}(\frac{x}{10})$