After days and days of placing things, taking things out of boxes, and arranging furniture, Ellen was set to decorate her new apartment. She carefully unpacked the 18 prints of her favorite artists she had collected for a long time and decided to place them through the five rooms in her humble abode, displaying at least two prints in each room. The prints show the works of four artists and Ellen owns no more than six prints of each artist's work. Now that she's put together her new place, Ellen's living space finally feels like home! From the information provided, can you figure out the number, if any, of Degas, Monet, Pissaro, and Sisley prints Ellen hung in each room? This one will require a little math...
Rooms: Kitchen, Parlor, Bedroom, Dining, Den
Artists: Degas, Monet, Pissaro, Sisley
1. Ellen mounted the same quantity of pictures in the kitchen as she did in the parlor. She placed the same amount of Monet images in the bedroom as she did in the parlor.
2. Ellen mounted at least one Pissaro picture in the dining room. She didn't mount any prints by Degas or Sisley in the den.
3. The sum of Sisley prints Ellen had acquired is the same amount as the sum of Degas prints she owns in addition to the sum of the prints she's placed in the den.
4. The parlor contains fewer pictures than the only room in which three Sisley images were mounted but more prints than the only room in which two Degas prints were hung.
5. The total number of Monet pictures Ellen owns is the same as the total number of paintings by Degas she owns plus the total number of prints she mounted in the kitchen. Ellen didn't place any pictures by Monet or Degas in the kitchen.
6. Ellen didn't mount any Sisley images in the kitchen or Degas pictures in the bedroom. |