Question 52·Easy·Ratios, Rates, Proportional Relationships, and Units
A recipe calls for cups of milk. How many pints of milk are needed?
()
For unit conversion questions, always start by writing the given conversion as a fraction (for example, pint over cups) and multiply your starting quantity by this fraction so that units cancel correctly. Decide whether you should multiply or divide by asking if the new unit should represent a larger or smaller number, then simplify the fraction or use quick arithmetic to match the result to an answer choice.
Hints
Use the given conversion
You are told that cups is equal to pint. How can you use this to relate cups and pints?
Decide whether to multiply or divide
If cups make pint, and you have cups, should the number of pints be bigger or smaller than ? Does that suggest multiplying or dividing by ?
Write a fraction for the conversion
Think of the conversion as a fraction: . Multiply cups by this fraction so that the cup units cancel.
Desmos Guide
Enter the unit-conversion calculation
In Desmos, type 3/2 or 3*(1/2) to represent dividing 3 cups by 2 cups per pint.
Interpret the result
Look at the numerical output Desmos gives for this expression; that value is the number of pints of milk needed. Match that value to the closest answer choice.
Step-by-step Explanation
Identify the conversion relationship
The problem tells you that cups pint. This means every pint contains cups of milk.
Set up how many pints correspond to 3 cups
We want to know how many pints are in cups. Since there are cups in each pint, we divide the total cups by :
The cup units cancel, leaving the number of pints.
Compute the number of pints and match the choice
Now calculate:
So cups of milk is pints. The correct answer choice is .