Answer:
[tex]\frac{21}{4}[/tex] or 5.25 litres
Step-by-step explanation:
Hi there,
Since 1 hour is equivalent to [tex]\frac{3}{3}[/tex] and we have the amount for [tex]\frac{2}{3}[/tex] of an hour, we can find the amount Ben drinks for [tex]\frac{1}{3}[/tex] hour and multiply by 3.
To find the amount Ben drinks in [tex]\frac{1}{3}[/tex] hour, we should divide the amount at [tex]\frac{2}{3}[/tex] hour by 2.
[tex]\frac{7}{2}[/tex] ÷ 2 = [tex]\frac{7}{4}[/tex]
Now that we know the amount at [tex]\frac{1}{3}[/tex] hour, we can multiply by 3 to determine the amount of tea he drank in one hour.
[tex]\frac{7}{4}[/tex] × 3 = [tex]\frac{21}{4}[/tex]
Therefore, Ben drank [tex]\frac{21}{4}[/tex] or 5.25 litres of tea in one hour.
Hope this answer helps. Feel free to ask questions.
Cheers.
