**A jeweler sells gems at a cost in dollars per centigram that is 4 more than**

**6 times the weight of the gem in centigrams. Thus, a gem that weighs w**

**centigrams will be sold at a price of 6w + 4 dollars per centigram — meaning**

**that a larger, heavier gem will cost more per centigram than a smaller gem. If**

**the jeweler sold a single gem for about $2500, what did the gem weigh to the**

**nearest centigram**

**Answer:**

2500 = 6w + 4

2596 = 6w

w = 432.667 ----> 433