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Joey worked 12 more hours than Chandler last week. Together, they worked a total of 57 hours. Which system of equations can be used to determine the number of hours Joey worked, x, and the number of hours Chandler worked, y?
A.
x = y + 12
x + y = 45

B.
x = y + 12
x + y = 57

C.
x + y = 57
y = -x + 45

D.
x + y = 45
y = x - 12

Respuesta :

reggie4372
The answer is B becuase X+Y=57 and x=y+12

For the given situation, system of equations is represented by

x = y + 12

x + y = 57

What is the system of equations?

"A system of equations is a finite set of equations for which we find the common solution."

According to the question,

x represents number of hours Joey worked

y represents number of hours Chandler worked

Two situations are given for which we need to find out system of equations it represents.

Situation1: Joey worked 12 more hours than Chandler last week, which can be represented by equation:

x = y + 12

Situation2: Together they worked a total of 57hours, which can be represented by equation:

x + y = 57

Hence, we conclude that Option B is the correct answer.

Learn more about system of equations here

https://brainly.com/question/12895249

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