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Mandy is looking over her credit card statements from the past couple of months. There is a balance of $8,790\$8,790 this month, which is 50%50\% less than last month. What was the balance last month?\newline$\$____

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Q. Mandy is looking over her credit card statements from the past couple of months. There is a balance of $8,790\$8,790 this month, which is 50%50\% less than last month. What was the balance last month?\newline$\$____
  1. Define Previous Month's Balance: Define the previous month's balance as xx. Current balance is 50%50\% less than last month, so: Current balance = x50%(x)x - 50\%(x) = x0.5xx - 0.5x
  2. Set Up Equation: We know the current balance is $8,790\$8,790. Set up the equation based on the expression from Step 11: $8,790=x0.5x\$8,790 = x - 0.5x
  3. Simplify and Solve: Simplify and solve for xx.
    $8,790=0.5x\$8,790 = 0.5x
    x=$8,7900.5x = \frac{\$8,790}{0.5}
    x=$17,580x = \$17,580