Keith and Dena Diem have personal property coverage with a​ $250 limit on​ currency, a​ $1,000 limit on​ jewelry, and a​ $2,500 limit on​ gold, silver, and pewter. They do not have a personal property floater. If ​$347 ​cash, ​$2 comma 548 of​ jewelry, and
​$1 comma 438 of pewterware were stolen from their​ home, what amount of loss would be covered by their​ homeowner's policy? If the​ Diems' deductible is ​$750​, how much will they receive on their​ claim?

Let's break down the coverage for Keith and Dena Diem based on the given policy limits and stolen items:

1. **Stolen items:**
   - Cash: $347
   - Jewelry: $2,548
   - Pewterware: $1,438

2. **Policy limits:**
   - Cash limit: $250
   - Jewelry limit: $1,000
   - Pewterware (considered under gold, silver, and pewter category) limit: $2,500

Now, we'll calculate the covered amount for each category.

### Cash:
- The cash stolen is $347, but the policy only covers up to $250. 
- **Covered amount for cash**: $250

### Jewelry:
- The jewelry stolen is $2,548, but the policy only covers up to $1,000.
- **Covered amount for jewelry**: $1,000

### Pewterware:
- The pewterware stolen is $1,438, which is within the $2,500 limit.
- **Covered amount for pewterware**: $1,438

### Total covered amount:
- Cash: $250
- Jewelry: $1,000
- Pewterware: $1,438
- **Total covered loss**: $250 + $1,000 + $1,438 = $2,688

### Deductible:
- The deductible is $750. So, the amount the insurance will pay is:
- **Amount after deductible**: $2,688 - $750 = **$1,938**

### Final Answer:
The Diems will receive **$1,938** on their claim.

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Would you like further details or have any questions?

Here are 5 related questions for further understanding:
1. What would happen if the value of stolen pewterware exceeded $2,500?
2. How does the deductible affect the payout if the loss is smaller than $750?
3. What is the purpose of having specific limits for cash, jewelry, and pewterware?
4. How would adding a personal property floater change this claim?
5. How can policyholders choose appropriate limits for their valuables?

**Tip:** Always review policy limits and consider add-ons like floaters for high-value items to ensure full coverage.

Keith and Dena Diem have personal property coverage with a​ $250 limit on​ currency, a​ $1,000 limit on​ jewelry, and a​ $2,500 limit on​ gold, silver, and pewter. They do not have a personal property floater. If ​$347 ​cash, ​$2,548 of​ jewelry, and ​$1,438 of pewterware were stolen from their​ home, what amount of loss would be covered by their​ homeowner's policy? If the​ Diems' deductible is ​$750​, how much will they receive on their​ claim?

Understand how to calculate covered losses in a homeowner's insurance policy for stolen cash, jewelry, and pewterware. The solution walks through applying policy limits and a deductible to determine the final payout. Perfect for students learning about basic math in real-world financial contexts, suitable for Grades 9-12.

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