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

subtraction and division
subtraction and division

addition and multiplication
addition and multiplication

addition and division

1 answer

To solve the problem and identify the operations needed, we can analyze the given equation:

\( b/8 + 25 = 500 \)

Here's the breakdown of operations:

  1. Subtract 25 from both sides: This operation isolates the term with \( b \).

    • \( b/8 = 500 - 25 \)
    • \( b/8 = 475 \)
  2. Multiply both sides by 8: This operation solves for \( b \).

    • \( b = 475 \times 8 \)

So, the operations needed to solve this problem were subtraction (to get rid of the 25) and multiplication (to solve for \( b \)).

Thus, the correct answer is subtraction and multiplication.