If p pencils cost d dollars, how many pencils can be bought for c cents?
Suppose I change the question to ...
"If 15 pencils cost 3 dollars, how many pencils can be bought for 90 cents?"
I am sure you could do that question.
Now simply replace the numbers you used with the p, d, and c and use the same operations in the same order.
To find out how many pencils can be bought for c cents, we first need to convert the amount of money, c cents, into dollars.
Since 100 cents make up 1 dollar, we can convert c cents to dollars by dividing c by 100:
Amount in dollars = c/100
Now, we know that p pencils cost d dollars, so we can find out the cost of 1 pencil by dividing d by p:
Cost of 1 pencil = d/p
To find out how many pencils can be bought for c cents, we divide the amount in dollars (c/100) by the cost of 1 pencil (d/p):
Number of pencils = (c/100) / (d/p)
This simplifies to:
Number of pencils = (c * p) / (100 * d)
So, to find out how many pencils can be bought for c cents, you can use the formula:
Number of pencils = (c * p) / (100 * d)
Make sure to substitute the appropriate values of p, d, and c into the formula to calculate the answer.