Question

Ben drinks tea at an incredible rate. He drinks 7/2 liters of tea every ⅔ of an hour. How many liters of tea did he drink in one hour. Show your work.

Answer 1

`(21)/(4)` or 5.25 litres

Explanation:

Hi there,

Since 1 hour is equivalent to
`(3)/(3)` and we have the amount for
`(2)/(3)` of an hour, we can find the amount Ben drinks for
`(1)/(3)` hour and multiply by 3.

To find the amount Ben drinks in
`(1)/(3)` hour, we should divide the amount at
`(2)/(3)` hour by 2.

`(7)/(2)` ÷ 2 =
`(7)/(4)`

Now that we know the amount at
`(1)/(3)` hour, we can multiply by 3 to determine the amount of tea he drank in one hour.

`(7)/(4)` × 3 =
`(21)/(4)`

Therefore, Ben drank
`(21)/(4)` or 5.25 litres of tea in one hour.

Hope this answer helps. Feel free to ask questions.

Cheers.