{"@context":"https://schema.org/","@type":"Quiz","name":"

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?

","hasPart":{"@type":"Question","typicalAgeRange":"12-22","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"SAT"},{"@type":"AlignmentObject","alignmentType":"educationalLevel","targetName":"SAT","educationalFramework":"Common Core","targetUrl":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-130"}],"about":{"@type":"Thing","name":"Math, Algebra, Duplicate"},"educationalLevel":"intermediate","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","assesses":["Math","Algebra","Duplicate"],"name":"

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?

","comment":{"@type":"Comment","text":"

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$ dollars, 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$ dollars, rather than $\\$25.00$ dollars.

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$ dollars, rather than $\\$25.00$ dollars.

"},"encodingFormat":"text/markdown","text":"

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?

","suggestedAnswer":[{"@type":"Answer","position":1,"encodingFormat":"text/html","text":"

$m=4c$

$c+m=25$

"},{"@type":"Answer","position":2,"encodingFormat":"text/html","text":"

$c=25m$

$c+m=4$

"},{"@type":"Answer","position":3,"encodingFormat":"text/html","text":"

$m=25c$

$c+m=4$

"}],"acceptedAnswer":{"@type":"Answer","position":0,"encodingFormat":"text/html","text":"

$c=4m$

$c+m=25$

","comment":{"@type":"Comment","text":"

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.

"},"answerExplanation":{"@type":"Comment","text":"

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.

"}}},"url":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-130"}

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?