Math Problem Statement

Jerry​ Carter's home is currently​ valued, on a replacement cost​ basis, at ​$301,000. When he last checked his​ policy, his home was insured for ​$209,571 and he did not have an inflation guard endorsement. If he has a ​$26,188 claim due to a kitchen​ fire, how much will his​ homeowner's insurance policy​ pay? How much would be paid if his home were totally​ destroyed? In order to obtain full replacement​ coverage, how much insurance should Jerry carry on his​ house?

Solution

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Math Problem Analysis

Mathematical Concepts

Proportional Reasoning
Insurance Calculations
Replacement Cost Ratio

Formulas

Insurance Payment = (Insured Amount / Replacement Cost) * Claim
Full Replacement Coverage = 100% of Replacement Cost

Theorems

Coinsurance Formula

Suitable Grade Level

Grades 11-12