Ben drank 3 1/2 liters drink in 2/3 hours then in one hour he drinks 21/4 liters of tea.
Given
Ben drinks tea at an incredible rate.
He drinks 3 1/2 liters of tea every 2/3 of an hour.
Multiplication;
The process of finding the product of the given numbers is called multiplication.
Ben drank 3 1/2 liters drink in 2/3 hours.
Here, 2/3 hours can be represented in minutes multiplied by 60.
[tex]\rm = \dfrac{2}{3}\times 60\\\\= 2\times 20\\\\=40 \ minutes[/tex]
Ben drinks the amount of tea in 40 minutes 3 1\2 liters.
Ben will drink tea in 1 minute is;
[tex]= 3\dfrac{1}{2}\times \dfrac{1}{40}\\\\=\dfrac{3\times 2+1}{2} \times \dfrac{1}{40}\\\\ = \dfrac{6+1}{2}\times \dfrac{1}{40}\\\\ =\dfrac{7}{2}\times \dfrac{1}{40}[/tex]
Therefore,
Ben will drink the amount of tea in 60 minutes is;
[tex]=\dfrac{7}{2}\times \dfrac{1}{40}\times 60\\\\= \dfrac{420}{80}\\\\= \dfrac{21}{4}[/tex]
Hence, In one hour he drinks 21/4 liters of tea.
To know more about Multiplication click the link given below.
https://brainly.com/question/18736835
