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 b8 + 25 = 500

Question

.(1 point)
Responses

addition and division
addition and division

subtraction and division
subtraction and division

subtraction and multiplication
subtraction and multiplication

addition and multiplication

Answer 1

To solve the problem, we need to figure out how many beads Niel started with, represented by \( b \). The equation provided is \( b \cdot 8 + 25 = 500 \).

To isolate \( b \), we would perform the following steps:

1. Subtract 25 from both sides to get rid of the 25 beads he bought:
   \( b \cdot 8 = 500 - 25 \)

2. Divide by 8 to find out how many beads were used for each necklace:
   \( b = \frac{500 - 25}{8} \)

Thus, the operations involved are subtraction and division.

Therefore, the correct response is:

subtraction and division.