Questions: Question Andy and Christopher are measuring a liquid solution using graduated cylinders. Andy uses 3,500 milliliters of the liquid solution, and Christopher uses 2,580 milliliters of the liquid solution. What is the ratio of Christopher's measurements to Andy's measurements in milliliters? Write your answer as a simplified fraction.

Question Andy and Christopher are measuring a liquid solution using graduated cylinders. Andy uses 3,500 milliliters of the liquid solution, and Christopher uses 2,580 milliliters of the liquid solution. What is the ratio of Christopher's measurements to Andy's measurements in milliliters? Write your answer as a simplified fraction.
Transcript text: Question Andy and Christopher are measuring a liquid solution using graduated cylinders. Andy uses 3,500 milliliters of the liquid solution, and Christopher uses 2,580 milliliters of the liquid solution. What is the ratio of Christopher's measurements to Andy's measurements in milliliters? Write your answer as a simplified fraction.
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Solution

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Solution Steps

Step 1: Identify the Quantities

The volumes of liquid solution used by the first and second person are 3500ml and 2580ml, respectively.

Step 2: Calculate the Ratio

The initial ratio of the volumes is given by \(\frac{2580}{3500}\), which simplifies to \(\frac{129}{175}\).

Step 3: Simplify the Fraction

By finding the greatest common divisor (GCD) of 2580 and 3500, which is 20, we simplify the fraction to \(\frac{129}{175}\).

Final Answer:

The simplified ratio of the two volumes is \(\frac{129}{175}\), rounded to 0 decimal places if necessary.

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