Given:
Last year Lira earned $12,000 less than her husband Todd.
Together they earned $75,000.
To find:
The amount earned by Lira in last year.
Solution:
Let x be the amount earned by Lira's husband inn last year.
Last year Lira earned $12,000 less than her husband Todd.
Amount earned by Lira = [tex]x-12000[/tex]
Total amount earned by Lira and her husband = [tex]x+(x-12000)[/tex]
= [tex]2x-12000[/tex]
Together they earned $75,000.
[tex]2x-12000=75000[/tex]
[tex]2x=75000+12000[/tex]
[tex]2x=87000[/tex]
[tex]x=\dfrac{87000}{2}[/tex]
[tex]x=43500[/tex]
Now,
Amount earned by Lira = [tex]x-12000[/tex]
= [tex]43500-12000[/tex]
= [tex]31500[/tex]
Therefore, the amount earned by Lira in last year is $31500.
