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

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

subtraction and division
subtraction and division

addition and multiplication
addition and multiplication

subtraction and multiplication
subtraction and multiplication

addition and division
addition and division

GPT-4o mini · Answer

To solve the equation $ b \times 8 + 25 = 500 $, where $ b $ represents the number of beads Niel used for each necklace, we first need to isolate $ b $. Here’s the step-by-step breakdown: 1. **Subtraction**: We first subtract 25 from both sides to isolate the term involving $ b $: $$ b \times 8 + 25 - 25 = 500 - 25 $$ which simplifies to: $$ b \times 8 = 475 $$ 2. **Division**: Next, we divide both sides by 8 to solve for $ b $: $$ b = \frac{475}{8} $$ So, the operations needed to solve the problem are **subtraction and division**. Therefore, the correct response is: **subtraction and division**.