in a bag of red and black jellybeans, 136 are red and the remainer are black jellybeans. If 15% of the jellybeans in the bag are black, what is the total number of jellybeans in the bag?
number of jellybeans ---- x
if 15% are red , then 85% must be black
.85x = 136
x = 136/.85 = 160
Let's assume the total number of jellybeans in the bag is "x".
Given that 15% of the jellybeans in the bag are black, we can write the equation:
0.15x = black jellybeans
We also know that 136 jellybeans are red, so the number of black jellybeans can be represented as:
x - 136 = black jellybeans
Now we can equate the two expressions for black jellybeans:
0.15x = x - 136
Simplifying the equation, we get:
0.15x - x = -136
Combining like terms, we have:
-0.85x = -136
Dividing both sides by -0.85, we find:
x = -136 / -0.85
x ≈ 160
Therefore, the total number of jellybeans in the bag is approximately 160.
To find the total number of jellybeans in the bag, we need to use the information given. Let's break it down step by step:
1. We know that 136 jellybeans in the bag are red.
2. We also know that the remaining jellybeans are black.
3. The problem states that 15% of the jellybeans in the bag are black.
To solve this, we can set up the following equation:
15% = (number of black jellybeans / total number of jellybeans) * 100
Now, let's solve for the number of black jellybeans:
15/100 = (number of black jellybeans / total number of jellybeans)
We can rewrite this equation as:
0.15 = (number of black jellybeans / total number of jellybeans)
Since we know that the remaining jellybeans are black, we can rewrite the equation as:
0.15 = (total number of black jellybeans / total number of jellybeans)
Now, we can substitute the value of the number of red jellybeans:
0.15 = (total number of black jellybeans / (total number of black jellybeans + 136))
To solve for the total number of jellybeans in the bag, we need to isolate the total number of black jellybeans. We can do this by cross-multiplying:
0.15 * (total number of black jellybeans + 136) = total number of black jellybeans
0.15 * (total number of black jellybeans) + 0.15 * 136 = total number of black jellybeans
Now, let's simplify the equation:
0.15 * total number of black jellybeans + 20.4 = total number of black jellybeans
To isolate the total number of black jellybeans, subtract 0.15 * total number of black jellybeans from both sides of the equation:
20.4 = total number of black jellybeans - 0.15 * total number of black jellybeans
20.4 = 0.85 * total number of black jellybeans
Divide both sides of the equation by 0.85:
total number of black jellybeans = 20.4 / 0.85
Now, we can solve for the total number of black jellybeans:
total number of black jellybeans ≈ 24
Since the problem asks for the total number of jellybeans in the bag, we need to add the number of red jellybeans to the number of black jellybeans:
total number of jellybeans = 136 + 24
total number of jellybeans ≈ 160
Therefore, the total number of jellybeans in the bag is approximately 160.