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

𝑏
8

+

25

=

500
.(1 point)
Responses

subtraction and division
subtraction and division

addition and multiplication
addition and multiplication

subtraction and multiplication
subtraction and multiplication

addition and division...

Answer 1

To solve the equation \( b \times 8 + 25 = 500 \), we can follow these steps:

1. Identify the unknown variable \( b \), which represents the number of beads used for each necklace.
2. Since Niel made 8 identical necklaces, the total number of beads used for the necklaces is \( b \times 8 \).
3. After buying 25 more beads, he has a total of 500 beads.

To solve for \( b \):

1. First, subtract 25 from both sides to isolate the term with \( b \): \[ b \times 8 = 500 - 25 \] \[ b \times 8 = 475 \]

2. Next, divide both sides by 8 to find \( b \): \[ b = \frac{475}{8} \]

So, for the operations needed to solve the equation \( b \times 8 + 25 = 500 \), you would use subtraction and division.

The correct response is:

• subtraction and division