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 b8 + 25 = 500 .(1 point) Responses addition and division addition and division addition and multiplication addition and multiplication subtraction and multiplication subtraction and multiplication subtraction and division

Question

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 b8 + 25 = 500 .(1 point) Responses addition and division addition and division addition and multiplication addition and multiplication subtraction and multiplication subtraction and multiplication subtraction and division

Answer 1

The correct operations needed to solve this problem using the equation b8 + 25 = 500 are addition and division.

Answer 2

The correct operations needed to solve this problem using the equation b8 + 25 = 500 are addition and division.

Answer 3

To solve this problem, we can use addition and subtraction operations along with division.

Let's break down the problem step by step:
1. Niel used the beads to make 8 identical necklaces, which means he used 8 times the number of beads for one necklace. So, we can multiply the number of beads for one necklace by 8: n * 8.
2. After making the necklaces, Niel bought 25 more beads at the store. We can add these 25 beads to the previous result: n * 8 + 25.
3. The total number of beads Niel ended up with is 500, which can be set as equal to the previous result: n * 8 + 25 = 500.

So, to solve this problem, we need to use the equation n * 8 + 25 = 500, where n represents the number of beads Niel started with. By rearranging the equation, we can calculate the value of n.

Now, we can solve the equation using the operations mentioned earlier: addition and subtraction along with division.

Here's how:
1. Start with the equation: n * 8 + 25 = 500.
2. First, subtract 25 from both sides to isolate the n * 8 term: n * 8 = 500 - 25.
3. Simplify the right-hand side: n * 8 = 475.
4. To find the value of n, divide both sides by 8: n = 475 / 8.
5. The quotient of 475 divided by 8 is 59.375.

Therefore, Niel started with approximately 59.375 beads. Since beads are typically whole numbers, we can assume that he started with 59 beads, rather than a fractional amount.