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
§ + 25
500. (1 point)
responses
addition and multiplication
subtraction and multiplication
subtraction and division
addition and division
addition and division
The operations needed to solve this problem using the equation b § + 25 = 500 are subtraction and division.
To solve this problem using an equation, we can represent the number of beads Niel started with as 'x'.
According to the problem, Niel uses the beads to make 8 identical necklaces. Therefore, the number of beads used for all the necklaces is 8x.
After making the necklaces, Niel buys 25 additional beads from the store. So the total number of beads is now 8x + 25.
The question states that Niel ends up with a total of 500 beads. Therefore, we can write the equation as follows:
8x + 25 = 500
Now, to find the value of x, we need to solve this equation using appropriate operations.
We can solve this equation using subtraction and division. Here are the steps:
1. Start with the equation: 8x + 25 = 500
2. Subtract 25 from both sides to isolate the term with x: 8x = 500 - 25
Resulting equation: 8x = 475
3. Divide both sides of the equation by 8 to solve for x: x = 475 / 8
Resulting equation (rounded to the nearest whole number): x ≈ 59.375
Therefore, Niel started with approximately 59 beads.