Question

How many ${\text{pints}}$ are in $5{\text{ quarts}}$?

Answer 1

Hint:
Here we must know that a pint is equal to $2$ cups and a quart is equal to $4$ cups. So from this information we can find the relation between the pints and the quarts. Then we can use the unitary method in order to solve for finding the pints contained in $5{\text{ quarts}}$

Complete step by step solution:
Here we are given to find the number of pints that are contained in $5{\text{ quarts}}$
For this we must know the relation between the two units that are given which are pint and quarts.
Here we know that whenever we are given two units we must know their relation for finding the number of items of one unit in other.
For example: To convert $5000{\text{gm}}$ in kilogram we must know that $1{\text{kg}} = 1000{\text{grams}}$
Similarly here we must know that a pint is equal to $2$ cups and a quart is equal to $4$ cups. So from this information we can find the relation between the pints and the quarts. Then we can use the unitary method in order to solve for finding the pints contained in $5{\text{ quarts}}$
${\text{1 pint}} = 2{\text{ cups}}$$ - - - - (1)$
$1{\text{ quart}} = 4{\text{ cups}}$$ - - - - (2)$
Dividing the above two equations we will get:
$\dfrac{{1{\text{ pint}}}}{{1{\text{ quart}}}} = \dfrac{2}{4} = \dfrac{1}{2}$
Hence we get that:
${\text{1 quart}} = {\text{2 pints}}$$ - - - - - (3)$
Now we know that if we have the value of one item and we need to find the value of $n$ items then we just need to multiply $n$ with the value of one item.
So we have the value of:
${\text{1 quart}} = {\text{2 pints}}$
So we can get the value of ${\text{5 quarts}}$ as:
${\text{5 quarts}} = ({\text{2}} \times {\text{5) pints}} = 10{\text{ pints}}$

Note:
To solve such problems the student must know about the conversion of various units. For example we must know:
$1{\text{kg}} = 1000{\text{ grams}}$
${\text{1 quart}} = {\text{2 pints}}$
$1{\text{ minute}} = 60{\text{ seconds}}$
$1{\text{ meter}} = 100{\text{ centimeter}}$
So we need to know all such conversions in order to solve such problems.