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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

.(1 point)
Responses

addition and multiplication
addition and multiplication

subtraction and multiplication
subtraction and multiplication

subtraction and division
subtraction and division

addition and division

1 answer

To solve the problem using the equation \( b \times 8 + 25 = 500 \), we need to identify the operations involved:

  1. Multiplication: Niel makes 8 identical necklaces, which involves multiplying the number of beads per necklace (b) by 8.
  2. Addition: After making the necklaces, he adds 25 beads to the total.
  3. Subtraction: To find out how many beads Niel started with, you would need to subtract the 25 beads (which he bought) from the total of 500 beads.

So, the operations needed here involve both multiplication (for the 8 necklaces) and subtraction (to find the initial number of beads before he bought more).

Given that, the correct response is:

subtraction and multiplication.