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Aria has two pet snakes, Mian and Udon. The combined length of the two snakes is 34 inches, and Udon is 12 inches shorter than Mian. Which of the following systems of equations could be used to find 
m, the length of Mian in inches, and 
u, the length of Udon in inches?
Choose 1 answer:
(A) 
m+u=12

m-u=34
(B) 
m+u=12

u-m=34
(c) 
m+u=34

m-u=12
(D) 
m+u=34

u-m=12

Aria has two pet snakes, Mian and Udon. The combined length of the two snakes is 3434 inches, and Udon is 1212 inches shorter than Mian. Which of the following systems of equations could be used to find m m , the length of Mian in inches, and u u , the length of Udon in inches?\newlineChoose 11 answer:\newline(A) m+u=12 m+u=12 \newlinemu=34 m-u=34 \newline(B) m+u=12 m+u=12 \newlineum=34 u-m=34 \newline(C) m+u=34 m+u=34 \newlinemu=12 m-u=12 \newline(D) m+u=34 m+u=34 \newlineum=12 u-m=12

Full solution

Q. Aria has two pet snakes, Mian and Udon. The combined length of the two snakes is 3434 inches, and Udon is 1212 inches shorter than Mian. Which of the following systems of equations could be used to find m m , the length of Mian in inches, and u u , the length of Udon in inches?\newlineChoose 11 answer:\newline(A) m+u=12 m+u=12 \newlinemu=34 m-u=34 \newline(B) m+u=12 m+u=12 \newlineum=34 u-m=34 \newline(C) m+u=34 m+u=34 \newlinemu=12 m-u=12 \newline(D) m+u=34 m+u=34 \newlineum=12 u-m=12
  1. Translate Equations: Translate the given information into equations.\newlineWe know that the combined length of Mian and Udon is 3434 inches. This can be written as an equation:\newlinem+u=34m + u = 34
  2. Difference in Length: Translate the information about the difference in length into an equation.\newlineWe are told that Udon is 1212 inches shorter than Mian. This can be written as:\newlinemu=12m - u = 12
  3. Check Options: Check the given options to see which one matches our equations.\newlineOption (A) does not match our equations.\newlineOption (B) does not match our equations.\newlineOption (C) matches our equations exactly.\newlineOption (D) has the second equation reversed and does not match our equations.
  4. Select Correct Option: Select the correct option based on the equations we have formed.\newlineThe correct system of equations is:\newlinem+u=34m + u = 34\newlinemu=12m - u = 12\newlineThis corresponds to Option (C).

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