Question

Lillian had 2 two-liter bottles of soda, which she distributed equally between 10 glasses.

a. How much soda was in each glass? Express your answer as a fraction of a liter.
b. Express your answer as a decimal number of liters.
c. Express your answer as a whole number of milliliters.

Answer 1

Answers:

a.
`(2)/(5)` liters/glass

b. 0.4 liters/glass

c. 400 ml/glass

Step-by-step explanation:

Part a:

We are given that two bottles each holding 2 liters of soda

This means that the total amount of soda = 2 * 2 = 4 liters

To get the amount of soda in each glass, we will simply divide the amount of soda by the number of glasses (given the number of glasses is 10)

Therefore:

Amount of soda in each glass =
`(4)/(10) = (2)/(5)` liters/glass

Part b:

We are now asked to express the amount in fraction. The simplest way to do this is to make the denominator a multiple of 10. The number of zeroes in the denominator will be equal to the number of digits after the decimal point

Therefore:

`(2)/(5)=(4)/(10)=0.4` liters/glass

Part c:

Now, we know that 1 liter is equivalent to 1000 ml

Therefore:

0.4 liters = 0.4 × 1000 = 400 ml/glass

Hope this helps :)