Connor has c dollars and Maria has m dollars. Connor has 4 times as many dollars as Maria, and together

Question

Connor has c dollars and Maria has m dollars. Connor has 4 times as many dollars as Maria, and together they have a total of $ 25.00 . Which system of equations represents this situation?

Accepted Answer

Choice A is correct. It&rsquo;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 = 4 m . It&rsquo;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 = 4 m and c + m = 25 represents this situation. Choice B is incorrect. The equation m = 4 c 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 = 25 m 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 = 25 c 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 .

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