Neil 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 = 500b8 + 25 = 500 .

1 answer

To solve this problem, we need to use the equation b * 8 + 25 = 500, where b represents the number of beads Neil started with.

Here are the operations needed to solve this equation:

1. Multiply the number of beads Neil started with (b) by 8 to represent the 8 necklaces he made: 8b.
2. Add 25 beads he bought at the store to the number of beads Neil started with: 8b + 25.
3. Set this sum equal to 500, the total number of beads he ended up with: 8b + 25 = 500.

To find the value of b, we can now solve this equation.