The Thompson family's net worth is $33,742, calculated by subtracting their total liabilities ($102,168) from their total assets ($135,910). Thus, the correct answer is (B) $33,742.
The Thompson family's net worth is the sum of their assets minus their liabilities.
Assets:
* Checking and savings: $1,520
* Automobile: $9,250
* House value: $112,340
* Furniture, etc.: $12,800
Total assets: $135,910
Liabilities:
* Auto loan: $5,238
* Credit cards: $580
* Mortgage: $78,570
* Home equity loan: $5,000
* Other loans: $13,780
Total liabilities: $102,168
Net worth: $135,910 - $102,168 = $33,742
Therefore, the answer is (B) $33,742.