Yuki works at an aquarium. To clean a tank, she calculates (7)/(900) of the tank's total volume, and she adds that much cleaning solution to the tank. For a certain tank, this works out to be 2(1)/(3)L of cleaning solution. What is the total volume of the tank? ◻ liters

Question

Yuki works at an aquarium. To clean a tank, she calculates (7)/(900) of the tank's total volume, and she adds that much cleaning solution to the tank. For a certain tank, this works out to be 2(1)/(3)L of cleaning solution. What is the total volume of the tank?  ◻ liters

Bytelearn · Accepted Answer

Convert to Improper Fraction: Yuki uses (7)/(900) of the tank's volume for the cleaning solution, which equals 2(1)/(3)L. Convert 2(1)/(3)L to an improper fraction: 2(1)/(3) = (2 * 3 + 1)/3 = (6 + 1)/3 = 7/3L.Set Up Equation: Now, set up the equation (7)/(900) * total_volume = 7/3. We need to find the total_volume.Solve for Total Volume: To solve for total_volume, divide both sides by (7)/(900): total_volume = (7/3) / (7/900).Simplify Right Side: Simplify the right side by multiplying by the reciprocal of (7)/(900): total_volume = (7/3) * (900/7).Cancel Out Sevens: The sevens cancel out, so total_volume = 1/3 * 900.Multiply to Find Total Volume: Multiply 1/3 by 900 to find the total volume: total_volume = 900/3.Calculate Total Volume: Calculate 900 divided by 3: total_volume = 300.

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