Answer
The number of jelly beans in the full jar is 464 beans.
Work Step by Step
Find the total mass of the jelly beans by subtracting the weight of the empty jar from the weight of the full jar.
$2082g-653g=1429g$
Use the given weight of the 6 jelly beans to find the average weight of the jelly bean. Find the sum of the 6 weights then divide by 6 to find the average.
$(3.15+3.12+2.98+3.14+3.02+3.09)\div6=18.50=3.08g$
Divide the total mass of the jelly beans by the average weight of one jelly bean to find the number of jelly beans in the full jar.
$1429\div3.08=464$