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Chapter 5: Q. 191 (page 644)

A married couple together earn \(75,000. The husband earns \)15,000 more than five times what his wife earns. What does the wife earn?

Short Answer

Expert verified

Wife earns $10,000

Step by step solution

01

Given Information 

A married couple together earn $75,000. The husband earns $15,000 more than five times what his wife earns.

02

Assume variables and frame equations

:et 'h' be the amount husband earns

and 'w' be the amount wife earns

A married couple together earn $75,000.

h + w=75000

The husband earns $15,000 more than five times what his wife earns.

h = 5 w +15000

03

Solve the equations

鈥�h鈥�+鈥�w=75000h=75000-wSubstituteitinsecondequaiton鈥�h鈥�=鈥�5鈥�w鈥�+1500075000-w鈥�=鈥�5鈥�w鈥�+1500075000鈥�=鈥�6鈥�w鈥�+15000subtract15000frombothsides60000=6wdivideby6w=10000h=75000-wh=75000-10000h=65000

Husband earns $65,000

Wife earns $10,000

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