Question

Investments in a business were made as follows:

Investment from family and friends
= ₹$\frac{7}{4}$x + 167

Promised investment from public
= ₹(9x + 430)

Investment not recieved from public
= ₹($\frac{3}{4}$x + 29)

Find the final amount that was invested.

• A. $\frac{5}{4}$x + 568
• B. 10x + 626
• C. $\frac{23}{2}$x + 626
• D. 10x + 568

Answer 1

The correct option is D 10x + 568

Given:

Investment from family and friends
= ₹$\frac{7}{4}$x + 167

Promised investment from public
= ₹(9x + 430)

Investment not recieved from public
= ₹($\frac{3}{4}$x + 29)

Expression for final investment
= ($\frac{7}{4}$x + 167) + ( 9x + 430) - ($\frac{3}{4}$x + 29)

Using commutative property to arrange the like terms together:
= $\frac{7}{4}$x + 9x - $\frac{3}{4}$x + 167 + 430 - 29

Using associative property to group the like terms:
= ($\frac{7}{4}$x + 9x - $\frac{3}{4}$x) + (167 + 430 - 29)

= (x + 9x) + 568

= 10x + 568

Hence, the final amount that was invested is ₹(10x + 568).