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Arıa 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

Arıa 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. Arıa 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 into equations: Translate the given information into mathematical expressions.\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. Translate length difference: Translate the information about the difference in length into a mathematical expression.\newlineWe are told that Udon is 1212 inches shorter than Mian. This can be written as:\newlinemu=12m - u = 12
  3. Form system of equations: Combine the equations from Step 11 and Step 22 to form a system of equations.\newlineThe system of equations that represents the given information is:\newlinem+u=34m + u = 34\newlinemu=12m - u = 12
  4. Match with answer choices: Match the system of equations with the given answer choices.\newlineThe system of equations from Step 33 matches with option (C):\newline(C) m+u=34m + u = 34\newline mu=12m - u = 12