Chapter 5.6, Problem 8TFS

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

PDQ Shopping Network. Sarah, Claire, and Maggie can process 685 telephone orders per day for PDQ shopping network. Sarah and Claire together can process 480 orders per day, while Claire and Maggie can process 650 orders. How many orders can each process alone?