SOLUTION: A basket of pennies doubles everyday and is full on day 15. On what day is it 1/4 full?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A basket of pennies doubles everyday and is full on day 15. On what day is it 1/4 full?      Log On


   



Question 350951: A basket of pennies doubles everyday and is full on day 15. On what day is it 1/4 full?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's say that on the 15th day, there are 'x' pennies in the basket. On the 14th day, there are x%2F2 pennies in the basket (ie half of the pennies are in the basket). Notice how if you double the number of pennies on the 14th day, you get 2%28x%2F2%29=x pennies.


Now on the 13th day, there are %28x%2F2%29%2F2=x%2F%282%2A2%29=x%2F4 pennies (ie take half of x%2F2 to get x%2F4). This is a fourth of the number of pennies that are present on the 15th day.


So the basket is 1%2F4 full on the 13th day.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim