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
.(1 point)
Nya is building a garden in her yard. She has 24 feet of fencing for her garden and wants it to be in the shape of a rectangle with a length of 3 feet. What does the width need to be for this to work?
subtraction and multiplication
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
.(1 point)
Responses
subtraction and division
subtraction and division
subtraction and multiplication
subtraction and multiplication
addition and multiplication
addition and multiplication
addition and division
To solve this problem using the equation b/8 + 25 = 500, we need to perform the following operations:
1. Multiply 8 by 25: 8 * 25 = 200.
2. Subtract 200 from 500: 500 - 200 = 300.
3. Multiply b/8 by 8 to isolate b: b/8 * 8 = b.
4. Set the equation equal to 300: b = 300.
To solve this problem using the equation b/8 + 25 = 500, you need to follow these steps:
1. Set up the equation: Start with the variable b for the number of beads Niel started with. Divide b by 8 because he uses them to make 8 identical necklaces. Then add 25, the number of additional beads he buys at the store. Finally, set the equation equal to 500, which represents the total number of beads he ends up with.
Equation: b/8 + 25 = 500
2. Solve for b: To find the value of b, you need to isolate the variable on one side of the equation. Start by subtracting 25 from both sides to get rid of this term. This will give you b/8 = 500 - 25, which simplifies to b/8 = 475.
Equation after subtraction: b/8 = 475
3. Multiply both sides by 8: Since b is divided by 8, multiply both sides of the equation by 8 to cancel out the division and solve for b.
Equation after multiplication: 8 * (b/8) = 8 * 475
Simplified equation: b = 3800
Therefore, Niel started with 3800 beads.
To solve the problem, you need to use the equation b/8 + 25 = 500, where b represents the number of beads Niel started with.
To solve for b, you need to perform the following operations:
1. Subtract 25 from both sides of the equation to isolate b/8:
b/8 = 500 - 25
2. Simplify the right side of the equation:
b/8 = 475
3. Multiply both sides of the equation by 8 to solve for b:
8 * (b/8) = 8 * 475
b = 3800
Therefore, Niel started with 3800 beads.