Solved on Dec 12, 2023
Let be the number of residents unemployed in the previous month. The problem states that the current unemployment decreased by from the previous month, so the equation is . Solving for , we get residents unemployed in the previous month.
STEP 1
Assumptions
1. The current number of unemployed residents is 870.
2. This represents a 25% decrease from the previous month.
3. We need to find the original number of unemployed residents before the decrease.
STEP 2
Let's denote the number of unemployed residents in the previous month as . The problem states that the current number of unemployed residents is 870, which is 75% of the number from the previous month (since there was a 25% decrease).
STEP 3
To represent the situation with an algebraic equation, we express the current number of unemployed residents (870) as 75% of the previous month's number ().
STEP 4
To solve for , we need to divide both sides of the equation by 0.75 to isolate .
STEP 5
Now, perform the division to find the value of .
STEP 6
The number of residents who were unemployed in the previous month was 1160.
The algebraic equation is .
A total of residents were unemployed in the previous month.
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