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 over 8 + 25 = 500
addition and division
addition and multiplication
subtraction and division
subtraction and multiplication
The correct answer is addition and multiplication.
The equation b/8 + 25 = 500 represents the operations needed to solve the problem. In this equation, b represents the number of beads Niel starts with.
To solve the equation, you would first perform the addition: b/8 + 25. This represents the number of beads Niel has after making 8 identical necklaces and buying 25 more beads.
Then, you would multiply this sum by 8: 8 * (b/8 + 25). This represents the total number of beads Niel ends up with, which is 500.
So, the equation is b/8 + 25 = 500, and the operations needed to solve it are addition and multiplication.
The operations needed to solve this problem using the equation "b over 8 + 25 = 500" are addition and multiplication.
The correct operations needed to solve this problem are subtraction and multiplication.
To solve the problem using the equation b over 8 + 25 = 500, we need to first isolate the variable b, which represents the number of beads Niel started with.
1. Start by subtracting 25 from both sides of the equation to isolate the term b over 8:
(b over 8) = 500 - 25
2. Simplify the right side of the equation:
(b over 8) = 475
3. To get the value of b, we need to multiply both sides of the equation by 8 to cancel out the fraction:
8 * (b over 8) = 8 * 475
4. Simplify the equation:
b = 3800
Therefore, Niel started with 3800 beads.