The average sale of cars by a dealer per day in the month of March, other than on Saturdays and Sundays, is 151. The average sale of cars per day on Sundays is 129. What is the average sale of cars per day on Saturdays, if the first Saturday is on the 3rd of March and average sale of cars per day for the whole month is 148?5444

Correct Answer: The correct option is 150.

Step-by-Step Explanation:

Step 1: Determine the total number of days and count of specific days in March.

The month of March has 31 days in total.

We are given that the first Saturday of the month is on March 3rd.

Let's list all the Saturdays in March:

March 3, March 10, March 17, March 24, and March 31.

So, there are 5 Saturdays in March.

Now, let's list all the Sundays in March (the day after each Saturday):

March 4, March 11, March 18, and March 25.

So, there are 4 Sundays in March.

The remaining days in March are weekdays (other than Saturdays and Sundays):

$\text{Remaining days}=31-(5+4)=31-9=22\text{days}$

Step 2: Calculate total car sales for the entire month.

The average sale of cars per day for the whole month of 31 days is 148.

$\text{Total sales in March}=31\times 148=4588$

Step 3: Calculate sales for non-weekend days (22 days) and Sundays (4 days).

The average sale of cars per day on days other than Saturdays and Sundays (22 days) is 151.

$\text{Total sales on non-weekend days}=22\times 151=3322$

The average sale of cars per day on Sundays (4 days) is 129.

$\text{Total sales on Sundays}=4\times 129=516$

Step 4: Find the total sales on Saturdays (5 days).

The sum of sales on non-weekend days and Sundays is:

$\text{Sum}=3322+516=3838$

Subtracting this from the total sales for the month gives the total sales on all 5 Saturdays:

$\text{Total sales on Saturdays}=4588-3838=750$

Step 5: Calculate the average sale per day on Saturdays.

$\text{Average sale on Saturdays}=\frac{750}{5}=150$

Thus, the average sale of cars per day on Saturdays is 150.