Question

The investments made by family and friends in a family business is ₹ $\frac{11}{3}$x + 52 and ₹ $\frac{7}{3}$x + 81 respectively.


Calculate the total funds invested in the business.

• A. $\frac{7}{3}$x + 133
• B. 6x + 122
• C. 6x + 133
• D. $\frac{19}{3}$x + 133

Answer 1

The correct option is C 6x + 133

Given:
Investment by family = ₹($\frac{11}{3}$x + 52)
Investment by friends = ₹($\frac{7}{3}$x + 81)

Let’s add the two linear expressions using properties of expression to calculate the total investment.

Using commutative property:
= $\frac{11}{3}$x + $\frac{7}{3}$x + 52 + 81

Using associative property:
= ($\frac{11}{3}$x + $\frac{7}{3}$x) + 52 + 81

= ($\frac{18}{3}$x) + 133

= 6x + 133

Therefore, the total funds invested is
₹(6x + 133).