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7◻ Mark for Review

7m=5(n+p)
The given equation relates the positive numbers 
m,n, and 
p. Which equation correctly gives 
n in terms of 
m and 
p ?
(A) 
n=(5p)/(7m)
(B) 
n=(7m)/(5)-p
(C) 
n=5(7m)+p
(D) 
n=7m-5-p

7 7 \square Mark for Review\newline7m=5(n+p) 7 m=5(n+p) \newlineThe given equation relates the positive numbers m,n m, n , and p p . Which equation correctly gives n n in terms of m m and p p ?\newline(A) n=5p7m n=\frac{5 p}{7 m} \newline(B) n=7m5p n=\frac{7 m}{5}-p \newline(C) n=5(7m)+p n=5(7 m)+p \newline(D) n=7m5p n=7 m-5-p

Full solution

Q. 7 7 \square Mark for Review\newline7m=5(n+p) 7 m=5(n+p) \newlineThe given equation relates the positive numbers m,n m, n , and p p . Which equation correctly gives n n in terms of m m and p p ?\newline(A) n=5p7m n=\frac{5 p}{7 m} \newline(B) n=7m5p n=\frac{7 m}{5}-p \newline(C) n=5(7m)+p n=5(7 m)+p \newline(D) n=7m5p n=7 m-5-p
  1. Start Equation: \newlineStep 11: Start with the given equation.\newline7m=5(n+p) 7m = 5(n + p)
  2. Distribute 55: \newlineStep 22: Distribute the 55 on the right side.\newline7m=5n+5p 7m = 5n + 5p
  3. Isolate n: \newlineStep 33: Isolate n n by subtracting 5p 5p from both sides.\newline7m5p=5n 7m - 5p = 5n
  4. Divide by 55: \newlineStep 44: Divide both sides by 55 to solve for n n .\newlinen=7m5p5 n = \frac{7m - 5p}{5}
  5. Check Correct Option: \newlineStep 55: Check the options to find the correct one.\newlineOption (B) matches:\newlinen=7m5p n = \frac{7m}{5} - p

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