Chapter 5.6, Problem 2TFS

Translate each word problem to an equation or a system of equations and select a correct translation from choices A–O.

A. $x+\left(x+2\right)=650$

B. $\frac{225}{x}=\frac{15}{108}$

C. $x^2+{\left(x+1\right)}^2=685$

D. $\frac{30}{x+3}=\frac{4x0}{}$

E. $\begin{array}{c}x+y+z=81,\\ x=3y-1,\\ z=x-8\end{array}$

F. $\begin{array}{c}x+y+z=81,\\ x-1=3y,\\ z=x-8\end{array}$

G. $x^2+{\left(x+5\right)}^2=650$

H. $\begin{array}{c}x+y+z=650,\\ x+y=480,\\ y+z=685\end{array}$

I. $\frac{40}{x+3}=\frac{30}{x}$

J. $\frac{15}{x}=\frac{108}{225}$

K. $\begin{array}{c}x+y+z=685,\\ x+y=480,\\ y+z=650\end{array}$

L. $x^2+{\left(x+2\right)}^2=685$

M. $\frac{x}{3}+\frac{x}{8}=1$

N. $x^2+{\left(x+2\right)}^2=650$

O. $\begin{array}{l}x=y+3,\\ 2x+2y=81\end{array}$

Estimating Fish Population. To determine the number of fish in a lake, a conservationist catches 225 of them, tags them, and releases them back into the lake. Later, 108 fish are caught, and it is found that 15 of them are tagged. Estimate how many fish are in the lake.