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

Question

.(1 point)
Responses

subtraction and division
subtraction and division

addition and division
addition and division

subtraction and multiplication
subtraction and multiplication

addition and multiplication

Answer 1

To solve the problem, we need to determine how many beads Niel started with, knowing that he made 8 necklaces and bought 25 additional beads, ending up with a total of 500 beads.

We can identify the equation given in the problem, which is:

\[ b \times 8 + 25 = 500 \]

Here, \( b \) represents the number of beads used for each necklace.

To isolate \( b \), we can follow these operations:

1. First, we will subtract 25 from both sides of the equation to account for the beads bought: \[ b \times 8 = 500 - 25 \] \[ b \times 8 = 475 \]

2. Then, we divide both sides by 8 to find how many beads were used for each necklace: \[ b = \frac{475}{8} \]

So, the operations used in this process are subtraction and division.

The correct response is:

subtraction and division