Question

$\text{Which of the following parcels require the}least\text{number of packages?}$

$Parcel1:\text{4 kg of apples packed into}\text{packages of}\frac{1}{3}\text{kg.}$

$Parcel2:\text{5 kg of apples packed into}\text{packages of}\frac{1}{2}\text{kg.}$

• A. Parcel 1
• B. Parcel 2
• C. Both parcels require the same number of packets.
• D. Cannot be determined

Answer 1

The correct option is A Parcel 1

$\text{Calculating the number of packets for}\text{each parcel, we find:}$

$Parcel1:$
$\text{Weight of apples}=4\text{kg}$
$\text{Weight of apples in each packet}=\frac{1}{3}\text{kg}$
$\text{Number of packages}=4÷\frac{1}{3}$


$\text{So, the number of}\frac{1}{3}\text{'s in 4 wholes is 12}$
$\text{Also, we can write}4÷\frac{1}{3}=12$

$\therefore \text{Parcel 1 requires 12 packets.}$

$Parcel2:$
$\text{Weight of apples}=5\text{kg}$
$\text{Weight of apples in each packet}=\frac{1}{2}\text{kg}$
$\text{Number of packages}=5÷\frac{1}{2}$


$\text{So, the number of}\frac{1}{2}\text{'s in 5 wholes is 10}$
$\text{Also, we can write}5÷\frac{1}{2}=10$

$\therefore \text{Parcel 2 requires 10 packets.}$

$\text{Hence, parcel 1 requires more packets}\text{than parcel 2.}$