Question

Given:

Total 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:

Total 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

$\therefore$ The final amount that was invested is $\$$(10x + 568).