70 ml
Given:
2.1 liters of coffee were equally distributed to 30 cups.
Question:
How many milliliters of coffee were in each cup?
The Process:
Step-1: converting liters into milliliters
Recall [tex]\boxed{ \ 1 \ liter = 1,000 \ milliliters \ }[/tex]
Let us change the 2.1 liters unit of coffee into milliliters.
[tex]\boxed{ \ 2.1 \ liters \times \frac{1,000 \ mL}{1 \ liter} = \ ? \ }[/tex]
[tex]\boxed{ \ = 2.1 \times 1,000 \ mL} \ }[/tex]
[tex]\boxed{ \ = 21 \times \frac{1}{10} \times 1,000 \ mL} \ }[/tex]
[tex]\boxed{ \ = 21 \times 100 \ mL} \ }[/tex]
[tex]\boxed{\boxed{ \ 2,100 \ mL \ }}[/tex]
Therefore, 2,100 mL of coffee are available for distribution.
Step-2: calculating how many milliliters of coffee were in each cup
[tex]\boxed{ \ 30 \ cups = 2,100 \ mL \ }[/tex]
[tex]\boxed{ \ 1 \ cups = \ ? \ mL \ }[/tex]
We have to divide the total amount of coffee by the number of cups.
[tex]\boxed{ \ 1 \ cup \times \frac{2,100 \ mL}{30 \ cups} \times 1,000 \ mL = \ ? \ }}[/tex]
[tex]\boxed{ \ = \frac{2,100}{30} \ }[/tex]
The numerator and denominator are equally divided by 10.
[tex]\boxed{ \ = \frac{210}{3} \ }[/tex]
[tex]\boxed{ \ = 210 \div 3 \ }[/tex]
[tex]\boxed{\boxed{ \ 70 \ }}[/tex]
Thus, 70 milliliters of coffee were in each cup.
Keywords: 2.1 liters of coffee, were equally distributed, to 30 cups, how many, milliliters, in each cup, least common multiple, LCM, numerator, denominator
The amount of coffee in each cup is the average coffee in the cups.
The amount of coffee in each cup is 70mL
The given parameters are:
[tex]\mathbf{Size = 2.1L}[/tex]
[tex]\mathbf{Cup = 30}[/tex]
So, the amount in each cup is:
[tex]\mathbf{Amount = \frac{Size}{Cup}}[/tex]
Substitute known values
[tex]\mathbf{Amount = \frac{2.1L}{30}}[/tex]
[tex]\mathbf{Amount = 0.07L}[/tex]
Convert liters to milliliters
[tex]\mathbf{Amount = 0.07 \times 1000mL}[/tex]
[tex]\mathbf{Amount = 70mL}[/tex]
Hence, the amount of coffee in each cup is 70mL
Read more about mean and averages at:
https://brainly.com/question/16217700
