last year Lien earned $1,900 more than her husband. together they earned $59,100. how much did they both earn?
Let x = husband's salary.
x + x + 1900 = 59,100
2x + 1900 = 59,100
2x + 1900 - 1900 = 59,100 - 1900
2x = 57,200
x = 57,200/2
x = 28,600
To determine how much Lien and her husband earned, let's follow these steps:
Step 1: Let's assume Lien's husband's earnings as "x" dollars.
Step 2: According to the given information, Lien earned $1,900 more than her husband. So, Lien's earnings can be represented as "x + $1,900".
Step 3: The total earnings of both Lien and her husband are given as $59,100. Hence, we can write the equation: x + (x + $1,900) = $59,100.
Step 4: We can simplify the equation by combining like terms: 2x + $1,900 = $59,100.
Step 5: To isolate the variable, we subtract $1,900 from both sides of the equation: 2x = $59,100 - $1,900.
Step 6: Continuing to simplify, we find: 2x = $57,200.
Step 7: Finally, we solve for x by dividing both sides of the equation by 2: x = $57,200 / 2.
Step 8: Evaluating the equation, we get: x = $28,600.
Therefore, Lien's husband earned $28,600 and Lien earned $1,900 more, which is $30,500.