To solve the problem, let’s break it down step by step.
First, we need to determine the cost of one pen. If 100 pens cost x dollars, we can find the price of a single pen by dividing the total cost by the number of pens:
Cost of one pen = x dollars / 100 pens = x/100 dollars per pen
Now that we have the cost of one pen, we want to find out how many pens can be purchased for 50 cents. Since 50 cents is equivalent to 0.50 dollars, we can calculate how many pens we can buy:
Number of pens for 50 cents = (0.50 dollars) / (x/100 dollars per pen)
This simplifies to:
Number of pens = 0.50 dollars * (100 pens / x dollars)
This gives us:
Number of pens = (50 * 100) / x = 5000/x pens
So, you can purchase 5000/x pens for 50 cents at the same rate. Just plug in the value of x to find the exact number of pens you can buy.