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.
To solve this problem, we can use the equation: b8 + 25 = 500, where b represents the number of beads Neil started with.
The operations needed to solve this problem using the equation are addition and subtraction. Adding the number of beads Neil started with (b) to the 25 beads he bought gives the total number of beads after buying the additional beads. Finally, subtracting this total from 500 gives the number of beads Neil started with.
To solve the problem, we can use the equation b8 + 25 = 500. By rearranging this equation, we can isolate the variable b, which represents the number of beads Niel started with.
1. Start with the equation: b8 + 25 = 500.
2. Subtract 25 from both sides of the equation to isolate the variable: b8 = 500 - 25.
3. Simplify the right side of the equation: b8 = 475.
4. Divide both sides of the equation by 8 to solve for b: b = 475 รท 8.
Therefore, Niel started with 59 beads.
To solve this problem using the equation b8 + 25 = 500, where "b" represents the number of beads that Niel started with, we need to perform a few operations.
1. Subtract 25 from both sides of the equation: b8 + 25 - 25 = 500 - 25.
This will simplify the equation to b8 = 475.
2. Divide both sides of the equation by 8: (b8) / 8 = 475 / 8.
This will give us the value of b, which represents the number of beads that Niel started with.
By performing these operations, we can find the answer to the problem.