Question

How do you convert 48c to quarts?

Answer 1

Hint: Here, we will convert the given quantity of measurement of liquid from one unit to another unit. We will divide the converting factor to first convert the unit cups into pints. Then we will again divide the converting factor to convert pints into quarts and simplify it further to get the required answer.

Formula Used:
We will use the following conversion of units of liquid measurement:
1. 2 cups make a Pint i.e., 2 cups \[ = \] 1 pint.
2. 2 Pints make a Quart i.e., 2 pints \[ = \] 1 Quarts.

Complete step by step solution:
We are given that 48c has to be converted to quarts.
We know that the given amount is a dimension representing the unit rates for liquid measurement.
We know that 2 cups make a Pint and 2 Pints make a Quarts.
Now, we will convert the units of liquid measurement from cups to pints by dividing by 2 since we know that 2 cups make a Pint.
\[48c = \dfrac{{48}}{2}\] pints
\[ \Rightarrow 48c = 24\] pints
Now, we will convert the units of liquid measurement from cups to pints by dividing by 2 since we know that 2 cups make a Pint.
 \[24\] pints \[ = \dfrac{{24}}{2}\] quarts
\[ \Rightarrow 24\] pints \[ = 12\] quarts

Therefore, 48 cups of liquid equal 12 quarts of liquid.

Note:
We should also remember that 4 quarts make a gallon and also 10 fluid ounces make a cup. Cups is a unit measuring the number of substances used for cooking and serving purposes. A gallon is a unit measuring the volume of a substance for a larger amount of liquid. Fluid ounces, cups, pints, quarts, and gallon are the units of measuring liquid from the smaller amount to the larger amount. We can convert the cups directly into quarts by dividing the number of cups by 4. Thus, we get
\[48c = \dfrac{{48}}{4}\] quarts.
\[ \Rightarrow 48c = 12\] quarts.