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 multiplication
addition and multiplication

addition and division
addition and division

subtraction and multiplication
subtraction and multiplication

subtraction and division
subtraction and division

1 answer

To solve the equation \( b \cdot 8 + 25 = 500 \), we need to identify the operations involved.

  1. The term \( b \cdot 8 \) represents the multiplication of the number of beads \( b \) used for each necklace by 8 (the number of necklaces).
  2. The equation then adds 25 (the beads Niel buys) to that total.
  3. Finally, the equation sets the result equal to 500 (the total number of beads he has).

Thus, the operations needed to solve this problem are:

  • Multiplication (to find the total number of beads used for the necklaces)
  • Addition (to add the purchased beads to the total from the necklaces)

The correct response is: addition and multiplication.