Question

Joe's grandmother wanted to make a delicious dish for them. Joe and his little sister went to a supermarket to buy cooking oils. Joe bought 2 packs of refined oil, each of capacity $1\text{pt},$ and $1\text{cup}$ of coconut oil. His sister bought three packs of $\frac{1}{2}\text{pt}$ mustard oil each. Calculate the total amount of oil they bought all together(in gallon).

• A. $\frac{1}{2}\text{gal}$
• B. $\frac{1}{3}\text{gal}$

Answer 1

The correct option is A $\frac{1}{2}\text{gal}$

Let's first convert every capacity into pints.
Joe bought 2 packs of refined oil.

Each refined oil has a capacity of $1\text{pt}.$

$\therefore$ Capacity of refined oil bought $=2\times 1\text{pt}$
$=2\text{pt}$

Joe also bought coconut oil of capacity $=1\text{cup}$
We know,
$2\text{cups}=1\text{pt}$
$\Rightarrow 1\text{cup}=\frac{1}{2}\text{pt}$

$\therefore$ Joe bought $\frac{1}{2}\text{pt}$ of coconut oil.

Joe's sister bought three packs of $\frac{1}{2}\text{pt}$ mustard oil.
$\therefore$ Quantity of mustared oil bought $=3\times \frac{1}{2}\text{pt}$
$=1\frac{1}{2}\text{pt}$

Total quantity of oil bought $=\text{Quantity of refined oil}+\text{Quantity of coconut oil}+\text{Quantity of mustered oil}$
$=2\text{pt}+\frac{1}{2}\text{pt}+1\frac{1}{2}\text{pt}$
$=(2+1)\text{pt}+(\frac{1}{2}+\frac{1}{2})\text{pt}$
$=4\text{pt}$

We know,
$=8\text{pt}=1\text{gal}$
$\Rightarrow 4\text{pt}=\frac{1}{2}\text{gal}$

$\therefore$ Quantity of oil bought all together $=\frac{1}{2}\text{gal}$