Chapter 5.6, Problem 7TFS

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

Bicycling. The speed of one mountain biker is 3 km/h faster than the speed of another biker. The first biker travels 40 km in the same amount of time that it takes the second to travel 30 km. Find the speed of each biker.