For a project in their health class, Jasmine and Brenda recorded the amount of milk they drank every day. Jasmine drank 2 pints of milk each day, and Brenda drank 3 pints of milk each day.

a. Write a ratio of the number of pints of milk Jasmine drank to the number of pints of milk Brenda drank each day.

b. Represent this scenario with tape diagrams.

c. If one pint of milk is equivalent to 2 cups of milk, how many cups of milk did Jasmine and Brenda each drink? How do you know?

d. Write a ratio of the number of cups of milk Jasmine drank to the number of cups of milk Brenda drank.

e. Are the two ratios you determined equivalent? Explain why or why not.

A. 2:3

C. Jasmine drank 4 cups of milk, while brenda drank 6 cups of milk.

D. 4:6

E. Yes.

Step-by-step explanation:

Well then, the statement says that Jasmine drank 2 pints of milk each day, and Brenda drank 3 pints of milk each day. That is to say that for every 2 pints of milk that Jasmine drank, Brenda drank 3 pints of milk, so the ratio would be 2:3.

Now, if one pint of milk is equivalent to 2 cups of milk, what we need to do in order to find how many cups each girl drank daily is multiply the number of pints each drank by the number of cups in one pint. This is:

#Cups_milk = #Pints_daily * (2 cups of milk) / (1 pint of milk)

Since one pint of milk and two cups of milk are equivalent, the last term on the right side of the equation equals 1, therefore we are not altering it. So, to find how many cups they drank, we have:

Jasmine: #Cups_milk = 2 * (2/1) = 4 cups of milk

Brenda: #Cups_milk = 3 * (2/1) = 6 cups of milk

The ratio of number of cups of milk Jasmine drank to the number of cups of milk Brenda drank is 4:6, since for every 4 cups that Jasmine drank, Brenda drank 6. The two ratios are equivalent since we can find a common multiple between both ratios. Another way to check that both ratios are equivalent is confirming that the second ratio is equal to the first ratio times an integer. In this case, that integer is 2.

Have a wonderful day! : D