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
subtraction and multiplication
subtraction and multiplication
addition and division
addition and division
addition and multiplication
subtraction and multiplication
The operations needed to solve this problem using the equation b/8 + 25 = 500 are subtraction and multiplication.
The operations needed to solve this problem using the equation b/8 + 25 = 500 are subtraction and multiplication.
To explain further, let's break down the equation:
b/8 + 25 = 500
We want to find the value of b, which represents the initial number of beads that Niel started with.
The first operation we can use is subtraction. Since Niel made 8 identical necklaces, he used b/8 beads for each necklace. By subtracting b/8 from the total number of beads, we can find out how many beads he had left after making the necklaces:
b - (b/8) = Remaining beads
Next, we know that Niel bought 25 more beads at the store. So, we add 25 to the remaining beads:
Remaining beads + 25 = Total number of beads
Finally, we know that the total number of beads is 500. So we can set up the equation as:
Remaining beads + 25 = 500
To solve this equation, we need to isolate the variable b. We do this by subtracting 25 from both sides:
Remaining beads = 500 - 25
Simplifying:
Remaining beads = 475
Now we can use the second operation, which is multiplication. We know that the remaining beads represent b - (b/8), so we can set up the equation:
b - (b/8) = 475
To simplify this equation, we can multiply both sides by 8:
8*(b - (b/8)) = 8*475
Simplifying further:
8b - b = 3800
7b = 3800
To isolate the variable b, we divide both sides by 7:
7b/7 = 3800/7
b = 542.857
Therefore, Niel started with approximately 542.857 beads. Since we can't have a fraction of a bead, we can conclude that Niel started with 543 beads.