Question

Last year Lira earned $12,000 less than her husband Todd. Together they earned $75,000. How much did Lira earn last year?

Answer 1

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 = $x-12000$

Total amount earned by Lira and her husband = $x+(x-12000)$

                                                                             = $2x-12000$

Together they earned $75,000.

$2x-12000=75000$

$2x=75000+12000$

$2x=87000$

$x=\dfrac{87000}{2}$

$x=43500$

Now,

Amount earned by Lira = $x-12000$

                                       = $43500-12000$

                                       = $31500$

Therefore, the amount earned by Lira in last year is $31500.