Question

A woman sent 100 birr to buy a certain number of articles.The price per article was however, birr 1 more than she though and recieved 3 fewer articles & paid 2 more. What is the original price of the article?

Answer 1

The original price per article the woman thought was 9 birr before realizing that the actual price was 1 birr more, causing her to receive 3 articles fewer for her 100 birr.

Step-by-step explanation:

The woman believes she will receive a certain number of articles for 100 birr.

Let's denote the original price she thought per article as x birr.

Hence, she expects to get 100/x articles. However, the actual price per article is x+1 birr.

With the increased price, she receives 100/(x+1) articles, which is 3 articles fewer than expected. So, we have:

100/x - 3 = 100/(x+1)

Solving this equation:

x(x+1) = 100

x^2 + x - 100 = 0

This is a quadratic equation. Factoring it gives:

(x - 9)(x + 11) = 0

So, x can be 9 or -11.

Since the price cannot be negative, the original price per article the woman thought was 9 birr.