Answer: [tex]\frac{2x}{15}[/tex]
Step-by-step explanation:
You know that the raffle prized (in dollars) is given by the following expression:
[tex]\frac{14x^2}{15}[/tex]
Since it is to be divided among [tex]7x[/tex] people, you can write the following expression to represent the amount of money that each person will receive:
[tex]\frac{14x^2}{15(7x)}[/tex]
Finally, simplifying this expression, you get:
[tex]=\frac{7x(2x)}{15(7x)}=\frac{2x}{15}[/tex]
