15. Brie Bought 4 Beads At $p$ Cents Each And 8 Charms At 4 For $5.A) How Many Dollars Did Brie Spend In All? Give Your Answer In Terms Of $p$.B) Brie Decides To Spend All Of The Money On 6 Chains Instead. How Many Dollars Does Each

In this problem, we are given that Brie bought 4 beads at $p$ cents each and 8 charms at 4 for $5. We need to find out how many dollars Brie spent in all and then determine how many dollars each chain costs if she decides to spend all of the money on 6 chains.

Calculating the Cost of Beads

First, let's calculate the cost of the beads. Since Brie bought 4 beads at $p$ cents each, the total cost of the beads is:

4 x $p$ cents = 4$p$ cents

To convert this to dollars, we divide by 100:

(4$p$ cents) / 100 = 4$p$/100 dollars

Calculating the Cost of Charms

Next, let's calculate the cost of the charms. Since Brie bought 8 charms at 4 for $5, we can find the cost of each charm by dividing the total cost by the number of charms:

$5 ÷ 4 = $1.25 per charm

Since Brie bought 8 charms, the total cost of the charms is:

8 x $1.25 = $10

Calculating the Total Cost

Now, let's calculate the total cost by adding the cost of the beads and the cost of the charms:

Total cost = Cost of beads + Cost of charms = 4$p$/100 + $10

Simplifying the Total Cost

To simplify the total cost, we can convert the cost of the beads to dollars by dividing by 100:

Total cost = (4$p$ cents) / 100 + $10 = 4$p$ cents + $10

Since we want the total cost in dollars, we can convert the cost of the beads to dollars by dividing by 100:

Total cost = (4$p$ cents) / 100 + $10 = 4$p$/100 + $10

Calculating the Cost of Each Chain

If Brie decides to spend all of the money on 6 chains, we need to find out how many dollars each chain costs. Since the total cost is $10 + 4$p$/100, we can divide this by 6 to find the cost of each chain:

Cost of each chain = (Total cost) ÷ 6 = ($10 + 4$p$/100) ÷ 6

Simplifying the Cost of Each Chain

To simplify the cost of each chain, we can convert the cost of the beads to dollars by dividing by 100:

Cost of each chain = ($10 + 4$p$/100) ÷ 6 = ($10 + 4$p$) ÷ 600

Conclusion

In this problem, we calculated the cost of beads and charms, and then determined the total cost. We also found out how many dollars each chain costs if Brie decides to spend all of the money on 6 chains.

Final Answer

The final answer is:

A) The total cost is $10 + 4$p$/100 dollars.

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In this article, we will answer some of the most frequently asked questions related to the problem of Brie buying beads and charms.

Q: What is the cost of each bead in dollars?

A: The cost of each bead is $p$/25 dollars.

Q: How much does Brie spend in total on beads and charms?

A: Brie spends a total of $10 + 4$p$/100 dollars on beads and charms.

Q: What is the cost of each charm in dollars?

A: The cost of each charm is $1.25 dollars.

Q: If Brie decides to spend all of the money on 6 chains, how much will each chain cost?

A: Each chain will cost ($10 + 4$p$) ÷ 600 dollars.

Q: What is the relationship between the cost of each bead and the cost of each chain?

A: The cost of each bead is 1/25 of the cost of each chain.

Q: Can you explain the calculation for the cost of each chain in more detail?

A: Yes, the calculation for the cost of each chain is as follows:

Cost of each chain = (Total cost) ÷ 6 = ($10 + 4$p$/100) ÷ 6 = ($10 + 4$p$) ÷ 600

Q: What is the significance of the number 600 in the calculation for the cost of each chain?

A: The number 600 is the result of multiplying 100 (the denominator of the fraction 4$p$/100) by 6 (the number of chains).

Q: Can you provide a step-by-step solution to the problem?

A: Yes, here is a step-by-step solution to the problem:

1. Calculate the cost of each bead: 4$p$ cents
2. Convert the cost of each bead to dollars: 4$p$/100 dollars
3. Calculate the cost of each charm: $1.25 dollars
4. Calculate the total cost: $10 + 4$p$/100 dollars
5. Calculate the cost of each chain: ($10 + 4$p$) ÷ 600 dollars

Q: What is the final answer to the problem?

A: The final answer is:

A) The total cost is $10 + 4$p$/100 dollars.

B) The cost of each chain is ($10 + 4$p$) ÷ 600 dollars.

Conclusion

In this article, we have answered some of the most frequently asked questions related to the problem of Brie buying beads and charms. We hope that this article has provided you with a better understanding of the problem and its solution.