All the jelly beans in a jar are blue, green, red, white, or yellow. There are b blue jellybeans in the jar, as well as 3/4 b green jelly beans, 5/8 b red jellybeans, 9/16 b white jellybeans, and 7/16 b yellow jellybeans. If there are a total of 216 jellybeans in the jar, how many white jellybeans are in the jar?

b + 3/4b + 5/8b + 9/16b + 7/16b = 216

b + 3/4b + 5/8b + b = 216

Solve for b, then 9/16b = ?

To find the number of white jellybeans in the jar, we need to use the given information and solve the equation step by step.

Let's use the given variable b to represent the number of blue jellybeans in the jar.

From the information given, we know the following ratios for each color of jellybeans in terms of b:
- Blue jellybeans: b
- Green jellybeans: (3/4)b (which can also be written as 3b/4)
- Red jellybeans: (5/8)b (which can also be written as 5b/8)
- White jellybeans: (9/16)b (which can also be written as 9b/16)
- Yellow jellybeans: (7/16)b (which can also be written as 7b/16)

We can add up all these ratios to find the total number of jellybeans:
b + (3b/4) + (5b/8) + (9b/16) + (7b/16) = 216

To solve this equation, let's get rid of the fractions by finding a common denominator. In this case, the lowest common denominator is 16:
16b/16 + (12b/16) + (10b/16) + (9b/16) + (7b/16) = 216

Combine the fractions:
(54b/16) = 216

To solve for b, we can multiply both sides of this equation by 16 and divide by 54:
(54b/16) * (16/54) = (216) * (16/54)
b = 64

Now that we know b is 64, we can substitute this value back into the equation to find the number of white jellybeans:
White jellybeans = (9/16)b = (9/16) * 64 = 36

Therefore, there are 36 white jellybeans in the jar.