Question

A raffle prize of 14x^2/15 dollars is to be divided among 7x people. Write an expression for the amount of money that each person will receive. Show work.

Answer 1

Answer: $\frac{2x}{15}$

Step-by-step explanation:

You know that the raffle prized (in dollars) is given by the following expression:

$\frac{14x^2}{15}$

Since it is to be divided among $7x$ people,  you can write the following expression to represent the amount of money that each person will receive:

$\frac{14x^2}{15(7x)}$

Finally, simplifying this expression, you get:

$=\frac{7x(2x)}{15(7x)}=\frac{2x}{15}$