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
8
+
25
=
500
.(1 point)
Responses

addition and multiplication
addition and multiplication

subtraction and multiplication
subtraction and multiplication

addition and division
addition and division

subtraction and division
The correct operations needed to solve this problem using the equation b8 + 25 = 500 are addition and multiplication.
The operations needed to solve this problem using the equation b8 + 25 = 500 are addition and multiplication.
The equation given, b * 8 + 25 = 500, can be used to solve this problem. The variable "b" represents the number of beads Niel started with.
To solve this equation, we need to isolate the variable "b" by performing the inverse operations.
First, we start by isolating the term that contains the variable "b". In this case, it is the term "b * 8". To isolate it, we need to undo the multiplication by 8 by dividing both sides of the equation by 8:
(b * 8) + 25 = 500
(b * 8) = 500 - 25
(b * 8) = 475
Next, to solve for "b" we need to undo the multiplication by 8. We can do this by dividing both sides of the equation by 8:
(b * 8) / 8 = 475 / 8
b = 475 / 8
Now, performing the division:
b = 59.375
So, Niel started with approximately 59.375 beads. However, since the problem states that Niel has to make identical necklaces, the number of beads must be a whole number. Therefore, Niel must have started with 59 beads.