Chapter 3.4, Problem 4TFS

The goal of these matching questions is to practice step (2), Translate, of the five-step problem-solving process. Translate each word problem to a system of equations and select a correct translation from systems A–J.

$\begin{array}{l}x=y+248,\\ x+y=1094\end{array}$

$\begin{array}{l}5x=2y-3,\\ y=\frac{2}{3}x+5\end{array}$

$\begin{array}{l}y=\frac{1}{2}x,\\ 2x+2y=192\end{array}$

$\begin{array}{l}2x=7+y,\\ x+y=180\end{array}$

$\begin{array}{l}x+y=192,\\ x=2y\end{array}$

$\begin{array}{l}x+y=180,\\ x=2y+7\end{array}$

$\begin{array}{l}x-1094=y,\\ 3x-4y=248\end{array}$

$\begin{array}{l}3\%x+2.5\%y=97.50,\\ x+y=2500\end{array}$

$\begin{array}{l}2x=5+\frac{2}{3}y,\\ 3y=15x-4\end{array}$

$\begin{array}{l}x=\left(y+2.5\right)\cdot 3,\\ 3.5\left(y-2.5\right)=x\end{array}$

SAT Scores. The total of Megan’s writing and math scores on the SAT was 1094. Her math score was 248 points higher than her writing score. What were her math and writing SAT scores?