Directions: Study the table given below carefully and answer the question that follows.

The table displays information regarding five regional logistics hubs (V, W, X, Y, and Z), detailing the total number of delivery vehicles operating from each hub, the average number of packages carried per vehicle, and the ratio of local packages to express packages handled by each hub.

Note: The average number of packages carried per vehicle at hub Z is the same as the average number of packages carried per vehicle at hub V.

Logistics Hub	Total delivery vehicles	Average number of packages per vehicle	Local : Express
V	20	12	$5:3$
W	24	15	$2:1$
X	15	8	$3:2$
Y	18	10	$5:4$
Z	25	-----	$7:3$

What is the total number of local packages carried by the delivery vehicles of hub Y?

The correct answer is 100.

Step 1: Calculate the total number of packages handled by hub Y.
From the table provided in the question:
Total delivery vehicles operating from Hub Y = 18
Average number of packages carried per vehicle = 10

The total number of packages carried by hub Y is given by:

$\text{Total packages}=\text{Total vehicles}\times \text{Average packages per vehicle}$

$\text{Total packages}=18\times 10=180$

Step 2: Find the ratio of local packages to express packages for hub Y.
The table shows that for hub Y, the ratio of Local packages to Express packages is 5 : 4.

Sum of the ratio terms:

$5+4=9$

Step 3: Calculate the total number of local packages carried by hub Y.
Local packages represent 5 out of 9 equal parts of the total packages handled by hub Y.

$\text{Local packages}=\frac{5}{9}\times 180$

$\text{Local packages}=5\times 20=100$

Thus, the total number of local packages carried by the delivery vehicles of hub Y is 100.