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A married couple together earns $110,000 a year. The wife earns $16,000 less than twice what her husband earns. What does the husband earn?
A$47,000
B$42,000
C$68,000
D$37,000
Answer & Solution
Correct answer: B. $42,000
1. Let h equal the amount the husband earns, so the wife earns 2h minus 16,000.
2. Together they earn 110,000, so h plus (2h minus 16,000) equals 110,000.
3. Combine like terms: 3h minus 16,000 equals 110,000.
4. Add 16,000 to each side and divide by 3 to get h equals 42,000.
5. Check: the wife then earns 2(42,000) minus 16,000, or 68,000, and 42,000 plus 68,000 equals 110,000.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.1 Use a Problem-Solving Strategy_
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