Q:

A pitcher of water contains 1/4 liters of water. The water is poured equally into 5 glasses.a. How many liters of water are in each glass? Draw a picture to support your response.b. Write the amount of water in each glass in milliliters.

Accepted Solution

A:
Answer:a. 1/20 liters in each glass.b. 50 ml in each glass.Step-by-step explanation:a. To find how many liters are in each glass, you have to divide the 1/4 liters by 5 glasses, because the water is poured equally.[tex]\frac{1}{4}\:\div \frac{5}{1}[/tex]  Using the division properties of fractions:[tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c} [/tex]  [tex]\frac{1}{4}\times \frac{1}{5} =\frac{1\times \:1}{4\times \:5} =\frac{1}{20}[/tex]  b. Use the rule of three to convert from liters to milliliters.1 l = 1000 ml 1/20 l = x ml Now, multiply 1/20 l by 1000 ml and divide by 1 l to obtain x.[tex]x =\frac{ \frac{1}{20}\times 1000 }{1} = \frac{1000}{20} = 50[/tex]