Systems of two linear equations in two variables SAT question

Choice A is correct. It’s given that Connor has $c$ dollars, Maria has $m$ dollars, and Connor has $4$ times as many dollars as Maria. This can be represented by the equation $c=4m$. It’s also given that together, Connor and Maria have a total of $\$25.00$, which can be represented by the equation $c+m=25$. Therefore, the system consisting of the equations $c=4m$ and $c+m=25$ represents this situation.

Choice B is incorrect. The equation $m=4c$ represents a situation where Maria has $4$ times as many dollars as Connor, rather than the situation where Connor has $4$ times as many dollars as Maria.

Choice C is incorrect. The equation $c=25m$ represents a situation where Connor has $25$ times, rather than $4$ times, as many dollars as Maria. The equation $c+m=4$ represents a situation where Connor and Maria together have a total of $\$4.00$, rather than $\$25.00$.

Choice D is incorrect. The equation $m=25c$ represents a situation where Maria has $25$ times as many dollars as Connor, rather than the situation where Connor has $4$ times as many dollars as Maria. The equation $c+m=4$ represents a situation where Connor and Maria together have a total of $\$4.00$, rather than $\$25.00$.