Question

On average, Jamar drinks start fraction, 4, divided by, 5, end fraction

5
4
​
of a 10-ounce glass of water in start fraction, 2, divided by, 5, end fraction
5
2
​
of an hour. How much water does he drink, in glasses per hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.

Answer 1

To calculate how much water Jamar drinks per hour, we multiply the fraction of the glass he drinks by the glass size to find the amount for 2/5 of an hour and scale it up. Jamar drinks 4/5 of a 10-ounce glass in 2/5 of an hour, which is 8 ounces. For a full hour, Jamar drinks 20 ounces, which is equivalent to 2 glasses of water per hour.

Step-by-step explanation:

To calculate how much water Jamar drinks in glasses per hour, we will first find out how much he drinks in 2/5 of an hour, and then scale it up to a full hour.

Given that Jamar drinks 4/5 of a 10-ounce glass in 2/5 of an hour, the amount of water he drinks in that time is:

1. Multiply the fraction of the glass he drinks by the total ounces in the glass: 4/5 * 10 ounces = 8 ounces.
2. Now, to find out how much he drinks in a full hour, we divide the amount he drinks (8 ounces) by the fraction of the hour he spends drinking it (2/5 of an hour).
3. So the calculation is: 8 ounces ÷ (2/5) = 8 ounces * (5/2) = 8 * 5/2 = 40/2 = 20 ounces per hour.
4. Since a full glass is 10 ounces, we divide 20 ounces by 10 ounces per glass to find the number of glasses per hour: 20 ounces / 10 ounces per glass = 2 glasses per hour.

Jamar drinks 2 glasses of water per hour.