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
To solve this problem, we need to use the equation b/8 + 25 = 500, where b represents the number of beads Niel started with.
First, we need to isolate the variable b by subtracting 25 from both sides of the equation:
b/8 + 25 - 25 = 500 - 25
b/8 = 475
Next, we need to get rid of the fraction by multiplying both sides of the equation by 8:
8 * (b/8) = 8 * 475
b = 3800
Therefore, Niel started with 3800 beads.
To solve this problem using the equation b/8 + 25 = 500, we need to perform the following operations:
1. Multiply 8 by the variable b to undo the division by 8. This gives us 8 * (b/8).
2. Simplify 8 * (b/8) to just b.
3. Subtract 500 by 25 to undo the addition of 25. This gives us 500 - 25.
4. Simplify 500 - 25 to get 475.
5. Set the equation b equal to 475.
So, the final equation will be b = 475.
To solve this problem, we can use the equation b/8 + 25 = 500, where b represents the number of beads Niel started with.
To start, we need to isolate the variable b to solve for it.
1. Subtract 25 from both sides of the equation:
(b/8) = 500 - 25
2. Simplify the right side of the equation:
(b/8) = 475
3. To get rid of the fraction, we can multiply both sides of the equation by 8:
8 * (b/8) = 8 * 475
4. Simplify the left side of the equation:
b = 3800
Therefore, Niel started with 3800 beads.