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

𝑏
8

+

25

=

500
.(1 point)
Responses

addition and division
addition and division

subtraction and multiplication
subtraction and multiplication

subtraction and division
subtraction and division

addition and multiplication

1 answer

To solve the equation \( b \times 8 + 25 = 500 \), where \( b \) represents the number of beads Niel started with, you can identify the operations involved in the solution process:

  1. Subtraction: To isolate the term involving \( b \), you would first subtract 25 from both sides of the equation: \[ b \times 8 = 500 - 25 \]

  2. Division: After simplifying the equation, you would divide by 8 to solve for \( b \): \[ b = \frac{500 - 25}{8} \]

Thus, the operations needed to solve the problem are subtraction and division.

The correct response is: subtraction and division.