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

  • A \(\frac{y(y - x)}{y - x}\) cedis
  • B \(\frac{Yy - Xx}{y - x}\) cedis
  • C \(\frac{Y - Xy}{y - x}\) cedis
  • D \(\frac{Y - X}{y - x}\) cedis
  • E \(\frac{Y - Xx}{y - x}\) cedis
jamb 1979mathematics

The correct answer is E. \(\frac{Y - Xx}{y - x}\) cedis

Let's assume the trader spends X cedis per day for the first x days.

The total amount he spends during the first x days is \(X \times x = Xx\) cedis.

Now, he has y cedis left, and he needs to make it last for the remaining (y - x) days.

The amount he has to spend per day for the rest of his stay is \(\frac{\text{Total remaining cedis}}{\text{Remaining days}} = \frac{(y - Xx)}{(y - x)}\) cedis.

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