Neil has a bucket of beads. He uses him to make eight 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 using the equation b/8 + 25 = 500, we need to perform the following operations:
1. Multiply 8 by the number of beads used to make each necklace: 8 * (number of beads per necklace) = b
2. Add 25 to the result of step 1: b + 25 = (result of step 1) + 25 = b/8 + 25
3. Set the sum equal to 500: b/8 + 25 = 500
To solve this problem using the equation b/8 + 25 = 500, the following operations are needed:
1. Multiply 8 by b/8 to cancel out the divisor of 8: (8 * b/8)
2. Simplify the equation: b + 200 = 500
3. Subtract 200 from both sides of the equation: b = 500 - 200
4. Perform the subtraction: b = 300
Therefore, Neil started with 300 beads.
To solve this problem using the equation b/8 + 25 = 500, we need to identify the operations needed. Let's break it down step by step:
Step 1: Neil makes eight identical necklaces. This means he uses a certain number of beads to make each necklace. Let's call this unknown number of beads "b".
Step 2: To find the number of beads Neil started with, we need to figure out the total number of beads used for eight necklaces. Since each necklace uses the same number of beads, we divide the total number of beads by 8: b/8.
Step 3: Neil then buys 25 more beads from the store, which we need to add to the previous total.
Step 4: The combined number of beads Neil has after making the necklaces and buying additional beads is 500.
Now that we've identified the operations, we can create the equation:
b/8 + 25 = 500
To solve this equation and find the value of "b," we can follow these steps:
Step 1: Subtract 25 from both sides of the equation:
b/8 = 500 - 25
b/8 = 475
Step 2: Multiply both sides of the equation by 8 to isolate "b":
8*(b/8) = 8 * 475
b = 3800
Therefore, Neil started with 3800 beads.