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JAMB Mathematics 2022 Question 12

Question 12

Algebraic Expressions

Make C the subject of the formula W = 1 − a/5 (b + 3/7 c)

  1. A.C = −7/3[b + 5/a(w − 1)]
  2. B.C = −[76/3 + 5/a(w − 1)]
  3. C.C = −7/3[b + (5w − 1)/a]
  4. D.C = 7/3[b − 5/a(w − 1)]
Show the answer and explanation

Answer: A (C = −7/3[b + 5/a(w − 1)])

Explanation

a/5 (b + 3c/7) = 1 − W, so b + 3c/7 = 5(1 − W)/a. Then 3c/7 = −[b + 5(W − 1)/a], so c = −7/3[b + 5/a(W − 1)].