Chapter 6.7, Problem 9TFS

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

A. ${12}^{2+}{12}^2=x^2$

B. $x\left(x+26\right)=180$

C. $10,311+5\%x=x$

D. $x+y=85,5x+25y=13.85$

E. $x^2+4^2={12}^2$

F. $\frac{240}{x-18}=\frac{384}{x}$

G. $x+5\%x=10,311$

H. $\frac{x}{65}+1=\frac{x}{85}$

I. $\frac{x}{65}+\frac{x}{85}=1$

J. $\begin{array}{l}x+y+z=180,\\ y=4x,\\ z=x+y-27\end{array}$

K. $2x+2\left(x+26\right)=180$

L. $\frac{384}{x-18}=\frac{240}{x}$

M. $\begin{array}{l}x+y=85,\\ 0.05x+0.25y=13.85\end{array}$

N. $2x+2\left(x+24\right)=240$

O. $\frac{72}{x-3}+\frac{24}{x+3}=16$

Train Speeds. The speed of train A is 18 mph slower than the speed of train B. Train A travels 240 mi in the same time that it takes train B to travel 384 mi. Find the speed of train A.