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JAMB Mathematics 1979 Question 13

Question 13

Algebraic Expressions

A trader goes to Ghana for y days with Y cedis. For the first x days, he spends X cedis per day. The amount he has to spend per day for the rest of his stay is

  1. A.Y(y − x)/(y − x) cedis
  2. B.(Yy − Xx)/(−y − x) cedis
  3. C.(Y − Xy)/(x − y) cedis
  4. D.(Y − X)/(y − x) cedis
  5. E.(Y − Xx)/(y − x) cedis
Show the answer and explanation

Answer: E ((Y − Xx)/(y − x) cedis)

Explanation

After x days he has spent Xx cedis, leaving Y − Xx for the remaining y − x days, i.e. (Y − Xx)/(y − x) cedis a day.