Ms.lee class had to guess how many jelly beans were in a jar. The clues were that exactly half were red ,and that exactly one third were blue.Based on the information provided ,which of the following is not a reasonable number of jelly beans that can be in the jar?

a.24
b.50
c.60
d.90

Which number is not evenly divisible by both 2 and 3?

There is only one of them on that list.

Answer is b.50

B=50

To determine the reasonable number of jelly beans that can be in the jar, we need to consider the given clues. It is mentioned that exactly half the jelly beans are red and one-third are blue.

Let's start by considering each option:

a. 24: If there are 24 jelly beans, it is possible to have 12 red jelly beans (half) and 8 blue jelly beans (one-third). Therefore, 24 is a reasonable number.

b. 50: If there are 50 jelly beans, half would be 25 and one-third would be approximately 16.67 (rounded to the nearest whole number). Since we can't have a fraction of a jelly bean, it is not possible to have exactly one-third of the jelly beans be blue. Therefore, 50 is not a reasonable number.

c. 60: If there are 60 jelly beans, half would be 30 and one-third would be 20. Since 20 is a whole number, it is possible to have exactly one-third of the jelly beans be blue. Therefore, 60 is a reasonable number.

d. 90: If there are 90 jelly beans, half would be 45 and one-third would be 30. Since 30 is a whole number, it is possible to have exactly one-third of the jelly beans be blue. Therefore, 90 is a reasonable number.

Based on the given information, option b, 50, is not a reasonable number of jelly beans that can be in the jar.