Question 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 addition and division addition and division subtraction and division

Answer 1

To solve the problem, we need to find out how many beads Niel started with.

Let's denote the number of beads he started with as \( b \). According to the question, he used the beads to make 8 identical necklaces, which means he used \( 8b \) beads (if \( b \) is the number of beads for each necklace). After that, he bought 25 additional beads, giving him a total of 500 beads.

The equation can be understood as follows:

1. \( 8b \) is the total number of beads used for the necklaces.
2. He buys 25 more beads.
3. The total thus becomes \( 8b + 25 \).
4. This total equals 500 beads.

So the correct way to set it up is:

\[ 8b + 25 = 500 \]

Now, to solve for \( b \):

1. Subtract 25 from both sides: \( 8b = 500 - 25 \)
2. This simplifies the equation to \( 8b = 475 \).
3. Then divide both sides by 8 to find \( b \): \( b = 475 / 8 \).

In this context, the operations involved to solve the equation \( 8b + 25 = 500 \) are subtraction and division (to isolate \( b \)).

Therefore, the correct response is: subtraction and division.