Week 21 CMT Problem - 8th Grade


The Jewelry Display

A jewelry store displays some of the items it sells in a 3 by 6 rectangular display box. The store owner wants to display several of each of the following items that the store sells:



Gold bracelets (G) that cost $8 each
Silver necklaces (S) that cost $6 each
Copper pins (C) that cost $4 each
Pairs of wire earrings (E) that cost $3 each pair



The display must meet the following conditions:

  • There are at least two of each item
  • No two display boxes that share a side can have the same item.
  • The display case is showing items that have the greatest possible cost given the above two rules.

Show how the jewelry can be displayed in the 18 display boxes.


How many of each item were displayed?

What is the total cost of the items displayed?