Question

Niel has a bucket of beads. He uses them to make 8 identical necklaces and then buys 25 beads at the store. He ends up with a total of 500 beads. How many did he start with? Identify the operations needed to solve this problem using the equation b/8 + 25 = 500
.(1 point)
Responses

subtraction and division
subtraction and division

addition and division
addition and division

addition and multiplication
addition and multiplication

subtraction and multiplication

Answer 1

To solve the problem using the equation \( \frac{b}{8} + 25 = 500 \), we can analyze the operations involved:

1. **Subtraction**: The first step is to isolate the term involving \( b \) on one side of the equation. This can be achieved by subtracting 25 from both sides:
\[
\frac{b}{8} + 25 - 25 = 500 - 25 \Rightarrow \frac{b}{8} = 475
\]

2. **Multiplication**: Next, to solve for \( b \), we need to eliminate the fraction by multiplying both sides by 8:
\[
8 \cdot \frac{b}{8} = 475 \cdot 8 \Rightarrow b = 3800
\]

Given this analysis, the operations needed are **subtraction and multiplication**.

Therefore, the correct response is:
**subtraction and multiplication**