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
§ + 25 = 500. (1 point)
• addition and multiplication
• subtraction and division
addition and division
• subtraction and multiplication
addition and subtraction
The correct operations needed to solve this problem using the equation § + 25 = 500 are addition and subtraction.
The correct operations needed to solve this problem are subtraction and division.
To find out how many beads Niel started with, we need to subtract the 25 beads he bought from the total of 500 beads. This will give us the number of beads he had before buying more.
So, the equation we can form is § (unknown number of beads) - 25 = 500.
To solve for §, we need to isolate the unknown variable. To do that, we can move the 25 to the other side of the equation by subtracting it from both sides:
§ - 25 - 25 = 500 - 25
This simplifies to:
§ - 50 = 475
Finally, we can solve for § (the number of beads Niel started with) by dividing both sides of the equation by 1:
§ = 475 / 1
Therefore, Niel started with 475 beads.