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 using the equation b8 + 25 = 500, we need to perform the following operations:
1. Multiply the number of beads used to make each necklace by the number of necklaces: b8.
2. Add the number of beads purchased at the store: b8 + 25.
3. Set the sum equal to the total number of beads Niel ends up with: b8 + 25 = 500.
To find the number of beads Niel started with (b), we need to isolate the variable b. We can do this by subtracting 25 from both sides of the equation:
b8 + 25 - 25 = 500 - 25
b8 = 475
Finally, we divide both sides of the equation by 8 to solve for b:
b8/8 = 475/8
b = 59.375
However, since Niel cannot have a fraction of a bead, we can round down to the nearest whole number:
b ≈ 59
Therefore, Niel started with approximately 59 beads.
To solve this problem, we can set up an equation using the information given. Let's assign a variable to represent the number of beads Niel started with.
Let's break down the problem step by step:
1. Niel uses the beads to make 8 identical necklaces. Each necklace will require the same number of beads, so we divide the total number of beads by 8: Niel used (500 / 8) beads on each necklace.
2. Next, we know that Niel buys an additional 25 beads at the store. Therefore, the total number of beads used can be represented by the equation: Niel used (500 / 8) + 25 beads.
3. Finally, we want to find the number of beads Niel started with, which we assigned as the variable "b." Using the equation you provided, we can express the problem as: b + 25 = (500 / 8).
Now, to solve the equation:
b + 25 = 500 / 8
We need to isolate the "b" variable on one side of the equation, so we can subtract 25 from both sides:
b = (500 / 8) - 25
Simplifying further:
b = 62.5 - 25
b = 37.5
Therefore, Niel started with 37.5 beads. Since we cannot have a fraction of a bead, it is likely that the total number of beads in the problem was a whole number, and 37.5 may represent an estimation or round-off. In that case, it is best to assume that Niel started with 37 beads and the calculations here provide a more precise solution.
To solve this problem, we need to set up an equation using the given information and solve for the unknown number of beads Neil started with.
Let's assign the variable 'b' to represent the number of beads Neil started with.
According to the problem, Neil used the beads to make 8 identical necklaces, so we can express this as 8 * b, which represents the number of beads used for the necklaces.
We also know that Neil bought 25 more beads at the store, so we can add this to the previous expression.
Putting it all together, we have the equation: 8b + 25 = 500.
To solve this equation and find the value of 'b', we need to isolate the variable 'b' on one side of the equation.
Here are the step-by-step operations to solve for 'b' using the equation 8b + 25 = 500:
1. Subtract 25 from both sides of the equation: 8b + 25 - 25 = 500 - 25. This simplifies to 8b = 475.
2. Divide both sides of the equation by 8 to isolate 'b': 8b / 8 = 475 / 8. This simplifies to b = 59.375.
Therefore, Neil initially started with 59.375 beads, although this is a decimal number, let's assume he started with 59 beads.