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 addition and division addition and division subtraction and multiplication subtraction and multiplication addition and multiplication
The correct operations needed to solve this problem using the equation b/8 + 25 = 500 are addition and multiplication.
The operations needed to solve this problem using the equation b/8 + 25 = 500 are subtraction and multiplication.
Let's break it down:
1. The problem states that Niel starts with a certain number of beads, which we'll call "b".
2. He then uses these beads to make 8 identical necklaces. This means he divides the total number of beads by 8, which gives us b/8.
3. After making the necklaces, Niel goes to the store and buys 25 additional beads.
4. Finally, Niel ends up with a total of 500 beads.
Putting it all together, we can create the equation:
b/8 + 25 = 500
To solve this equation, we need to isolate the variable "b". We can do this by performing the following operations:
1. Start by subtracting 25 from both sides of the equation to isolate the b/8 term: b/8 = 500 - 25.
2. Simplify the right side of the equation: b/8 = 475.
3. To get the value of b, we multiply both sides of the equation by 8 (to undo the division by 8): 8 * (b/8) = 8 * 475.
4. Simplify the left side of the equation: b = 3800.
So, Niel originally started with 3800 beads.