The ratio of black to red jellybeans in my bag is 9:4. If there are 52 jellybeans in total, how many black jellybeans are there in my bag?
9x+4x = 52
x = 4
so there are 9*4 = 36 blacks and 4*4=16 reds
To find out how many black jellybeans are in your bag, we can start by calculating the total number of parts in the ratio. The ratio of black to red jellybeans is given as 9:4. Thus, the total number of parts is 9 + 4 = 13.
Next, we can determine the value of each part by dividing the total number of jellybeans by the total number of parts. In this case, there are 52 jellybeans in total, so each part represents 52/13 = 4 jellybeans.
Since the ratio is 9:4, there are 9 parts representing black jellybeans. Therefore, the number of black jellybeans in your bag is 9 parts * 4 jellybeans/part = 36 black jellybeans.
To find the number of black jellybeans in your bag, you can follow these steps:
Step 1: Understand the ratio
The ratio of black to red jellybeans is given as 9:4. This means that for every 9 black jellybeans, there are 4 red jellybeans.
Step 2: Split the total into parts
Add the two parts of the ratio (9 + 4) to get the total number of parts, which in this case is 13.
Step 3: Calculate the size of each part
Divide the total number of jellybeans (52) by the total number of parts (13) to determine the size of each part.
52 jellybeans ÷ 13 parts = 4 jellybeans per part
Step 4: Calculate the number of black jellybeans
Since the ratio is 9:4, each part represents 9 black jellybeans.
4 parts (4 jellybeans per part) × 9 = 36 black jellybeans
Therefore, there are 36 black jellybeans in your bag.