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Martha just started a new job as an engineer.she is given a $9,000 sign on bonus and paid $4,500 per month . Write and solve an equation to determine the number of months that Martha must work before she earns $27,000

User L Smeets
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Imagine that x is the number of months that Martha has worked before earning 27,000 dollars. We also know that since the $9,000 is also included in the earning of $27,000, we will be adding $9,000 to however the rest of the equation. Since she earns $4,500 per month, and she works for x months, we can multiply these two together to form the money earned (without bonuses) after x months, 4,500x. Now we can make our equation.


$9,000 + 4,500x =$27,000
4,500x = $18,000 Subtract $9,000 to get x on one side
x = 4 months Divide by 4,500 to get x by itself
User Arno Hilke
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$27,000=$4,500X+$9,000
-$9000=$4500X
$18,000=$4500X
\$4500=\4500
4=x

She needs to work for 4 months
User Dom Chapman
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