Ben drinks tea at an incredible rate. He drinks 3\{1}2 liters of tea every {2}3 of an hour. Ben drinks tea at a constant rate.How many liters of tea does he drink in one hour?

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Understand the problem: First, let's understand the problem. Ben drinks 3 and 1/2 liters of tea every 2/3 of an hour. We need to find out how many liters of tea he drinks in one full hour.Calculate tea consumption rate: To find out how much tea Ben drinks in one hour, we need to calculate the rate of his tea consumption per hour. We know that he drinks 3 and 1/2 liters in 2/3 of an hour. We can express 3 and 1/2 as an improper fraction, which is 7/2 liters.Set up proportion: Now, we will set up a proportion to find out how many liters he drinks in one hour. We have the ratio of 7/2 liters to 2/3 hours, and we want to find the number of liters per 1 hour. The proportion is (7/2) / (2/3) = x / 1, where x is the number of liters Ben drinks in one hour.Solve for x: To solve for x, we multiply both sides of the equation by 1 hour to isolate x. This gives us x = (7/2) / (2/3). To divide by a fraction, we multiply by its reciprocal. So, x = (7/2) * (3/2).Perform multiplication: Multiplying the numerators together, we get 7 * 3 = 21. Multiplying the denominators together, we get 2 * 2 = 4. So, x = 21/4.Simplify the fraction: The fraction 21/4 can be simplified to 5 and 1/4, or 5.25 in decimal form. This is the number of liters Ben drinks in one hour.

Ben drinks tea at an incredible rate. He drinks $3\frac{1}{2}$ liters of tea every $\frac{2}{3}$ of an hour. Ben drinks tea at a constant rate.How many liters of tea does he drink in one hour?

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Ben drinks tea at an incredible rate. He drinks $3\frac{1}{2}$ liters of tea every $\frac{2}{3}$ of an hour. Ben drinks tea at a constant rate.How many liters of tea does he drink in one hour?