Question

How many cups are in two gallons?

Answer 1

Hint: We use the concept of unitary method to calculate the number of cups existing in two gallons. Use the definition of cups and gallons and then write their relationship. Apply a unitary method to calculate the number of cups in two gallons by multiplying number of gallons to number of cups in one gallon.
* Unitary method helps us to calculate the value of multiple units by multiplying value of single unit to number of units given

Complete step-by-step solution:
We are given two terms or units i.e. cups and gallons.
We know the capacity of an object is that quantity of liquid that it can hold when it is completely full. To measure this capacity there are some units which are existing in the US.
There is a customary system to measure capacity having units of capacity as ounce, cup, pint, quart and gallon. We use the conversion of gallons into cups to calculate the number of cups in two gallons.
We have knowledge that: 1 US liquid gallon has 16 US cups
$$\Rightarrow 1$$Gallon $$=16$$cups
We use a unitary method to calculate the number of cups in two gallons by multiplying the number of gallons to both sides of the equation.
$$\Rightarrow 1\times (2)$$Gallon $$=16\times (2)$$cups
Calculate the product on both sides of the equation
$$\Rightarrow 2$$Gallon $$=32$$cups

$$\therefore$$Number of cups in two gallons is 32

Note: Many students make the mistake of writing the initial conversion wrong as they write the value of 1 cup into a gallon as 1 cup equals 0.0625 gallons and then calculate the value of 1 cup by dividing both sides by 0.0625. This is extra calculation we don’t require when we are given directly that 1 gallon has 16 cups.