# Problem of the Day: 12/26/12

Dana bought a large holiday wreath for her front door, which is 9 feet tall and 5 feet wide. The radius of the wreath is 2 feet. Including the area containing the knob, how much space will be left on the door outside the wreath?

Solution to yesterday’s problem:
We can solve this problem with a simple proportion, knowing that each elf gets 1 cookie:
$\frac{\frac{3}{4}\, \textup{cups}}{20 \,\textup{cookies}}=\frac{x \,\textup{cups}}{400000 \,\textup{cookies}}$
Cross multiplying,
$\frac{3}{4}\times 400000=20x$
Simplifying,
$300000=20x$
$15000=x$
So Mrs. Claus will need 15,000 cups of sugar to give each elf a cookie. That’s more than 900 gallons of sugar!