Question

An investor wants to invest $\$20$ million in a company. $\frac{1}{4}$ th of the money invested is allocated to the advertisement team and $\frac{2}{3}$rd of the remaining money is allocated to the development team. The development team comprises two teams: content and graphics. The content team will get $\frac{3}{2}$ times the money the graphics team gets. Find the money allocated to the advertisement, graphics, and content teams, respectively

• A. $\$5$ million, $\$4$ million, and $\$6$ million
• B. $\$10$ million, $\$6$ million, and $\$5$ million
• C. $\$8$ million, $\$4$ million, and $\$2$ million
• D. $\$5$ million, $\$6$ million, and $\$6$ million

Answer 1

The correct option is A $\$5$ million, $\$4$ million, and $\$6$ million

Total money to be invested $=\$20$ million
Amount allocated to the advertisement team $=20\times \frac{1}{4}=\$5$ million
Amount remaining $=20-5=\$15$ million
Amount allocated to the development team $=15\times \frac{2}{3}=\$10$ million
If the graphics team gets $x$, then the content team gets $\frac{3}{2}x$.
Solving,
$x+\frac{3}{2}x=10$
$\Rightarrow \frac{2x+3x}{2}=10$
$\Rightarrow \frac{5x}{2}=10$
$\Rightarrow x=\frac{10\times 2}{5}$
$\Rightarrow x=4$
Hence, the amount allocated to the advertisement, graphics and content teams is $\$5$ million, $\$4$ million and $\$6$ million, respectively.