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Mira has breakfast at a restaurant.
She leaves a 
20% tip of 
$1.80.
What is the price of Mira's breakfast, before tip?

$

Mira has breakfast at a restaurant.\newlineShe leaves a 20% 20 \% tip of $1.80 \$ 1.80 .\newlineWhat is the price of Mira's breakfast, before tip?\newline$ \$

Full solution

Q. Mira has breakfast at a restaurant.\newlineShe leaves a 20% 20 \% tip of $1.80 \$ 1.80 .\newlineWhat is the price of Mira's breakfast, before tip?\newline$ \$
  1. Calculate Tip Percentage: To find the price of Mira's breakfast before the tip, we need to calculate the original bill amount based on the tip amount and the tip percentage. We know that the tip is 20%20\% of the original bill amount and that the tip amount is $1.80\$1.80. First, let's express the tip percentage as a decimal for the calculation. 20%20\% as a decimal is 0.200.20.
  2. Set Up Equation: Now, we can set up the equation where the tip amount (1.80)isequaltotheoriginalbillamountmultipliedbythetippercentage(1.80) is equal to the original bill amount multiplied by the tip percentage (00.2020).\newlineLet's denote the original bill amount as BB.\newlineSo, the equation is: 1.80=B×0.201.80 = B \times 0.20
  3. Find Original Bill Amount: To find the original bill amount ( extit{B}), we need to divide the tip amount by the tip percentage.\newlineB=1.800.20B = \frac{1.80}{0.20}
  4. Perform Division: Performing the division gives us the original bill amount. B=1.800.20=9B = \frac{1.80}{0.20} = 9
  5. Final Price Calculation: Therefore, the price of Mira's breakfast before the tip was $9.00\$9.00.

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