Chapter 5.6, Problem 4TFS

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

Sums of Squares. The sum of the squares of two consecutive integers is 685. Find the integers.