Question

Investment of a businessman along with his three siblings is given as:


The equivalent expression for the total investment (in ₹) is.

• A. $\frac{7}{2}$x + 122
• B. $\frac{9}{2}$x + 211
• C. $\frac{7}{2}$x + 211
• D. $\frac{5}{2}$x + 201

Answer 1

The correct option is C $\frac{7}{2}$x + 211

Given:

Total investment is the sum of all the investments,
i.e.,
⇒ x + 122 + $\frac{5}{2}$x + 89

Using commutative property to rearrange the numbers, we have
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ⇒ x + $\frac{5}{2}$x + 122 + 89

Now, using associative property to group them:
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ⇒ (x + $\frac{5}{2}$x) + (122+89)
= ($\frac{7}{2}$x) + 211

Therefore, the equivalent expression is $\frac{7}{2}$x + 211