You could win a giant jar of jelly beans if only you could guess how many are in the jar. You find a smaller jar such that the giant one is exactly five times the smaller one in each dimension. If you count 83 jelly beans in your smaller jar, about how many should be in the giant jar?

The giant jar of jelly beans is 5 times the size of the smaller jar. If there are 83 jelly beans in the smaller jar, the giant jar can be represented as 5 (83).

5 (83) = 415 jelly beans

Answer: 415 jelly beans.

Step-by-step explanation:

Since, the ratio between the size of smaller jar and larger jar = 1 : 5

Thus, the ratio between the number of jellies contains by smaller and larger jar = 1 : 5

Let the jellies in smaller jar = x,

The jellies in larger jars = 5 x

Where x is any number.

According to the question,

The number of jellies in smaller jar = 83,

⇒ x = 83,

⇒ The number of jellies in larger jar = 5 x = 5 * 83 = 415