Out of 100 beads, there are 43 red beads, 23 blue beads and the rest are yellow. Find the percentage of yellow beads.

Options

A. 0.33
B. 0.34
C. 0.32
D. 0.35

Answer

To find the percentage of yellow beads among the total of 100 beads, follow these steps:

### Step 1: Determine the total number of beads
The total number of beads is given as 100.

### Step 2: Identify the number of red and blue beads
- Number of red beads = 43
- Number of blue beads = 23

### Step 3: Calculate the number of yellow beads
To find the number of yellow beads, subtract the number of red and blue beads from the total number of beads:

\[ \text{Number of yellow beads} = \text{Total beads} - (\text{Red beads} + \text{Blue beads}) \]

\[ \text{Number of yellow beads} = 100 - (43 + 23) \]

\[ \text{Number of yellow beads} = 100 - 66 = 34 \]

### Step 4: Calculate the percentage of yellow beads
To find the percentage of yellow beads, use the formula:

\[ \text{Percentage of yellow beads} = \left( \frac{\text{Number of yellow beads}}{\text{Total beads}} \right) \times 100 \]

Substituting the values:

\[ \text{Percentage of yellow beads} = \left( \frac{34}{100} \right) \times 100 \]

\[ \text{Percentage of yellow beads} = 34\% \]

### Final Answer
The percentage of yellow beads is **34%**.

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