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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 b/8 + 25 = 500

.(1 point)
Responses

addition and division
addition and division

addition and multiplication
addition and multiplication

subtraction and multiplication
subtraction and multiplication

subtraction and division

1 answer

To solve the equation \( b/8 + 25 = 500 \), we need to isolate \( b \).

  1. Subtract 25 from both sides of the equation: \[ \frac{b}{8} + 25 - 25 = 500 - 25 \] which simplifies to: \[ \frac{b}{8} = 475 \]

  2. Multiply both sides by 8 to eliminate the division: \[ b = 475 \times 8 \]

In this process, we used subtraction to eliminate the 25, and multiplication to solve for \( b \).

Thus, the correct response is subtraction and multiplication.