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 multiplication
subtraction and multiplication

addition and division
addition and division

subtraction and division
subtraction and division

addition and multiplication

1 answer

To find out how many beads Niel started with, let's analyze the equation given:

\[ \frac{b}{8} + 25 = 500 \]

We can break this down step by step to identify the operations needed to solve it:

  1. Identify the operations:
    • To isolate \( \frac{b}{8} \), we subtract 25 from both sides. This is a subtraction operation.
    • Then, to solve for \( b \), we need to multiply both sides by 8. This is a multiplication operation.

Thus, the correct pair of operations used in this process is subtraction and multiplication.

So, the answer is:

subtraction and multiplication.