The average number of sales at a certain store for 4 consecutive days is 26. If the number of sales on the fifth day is 46, what is the average number of sales for the 5 days?

Rationale

The average number of sales for the 5 days is 30.

To find the new average, first calculate the total sales for the initial 4 days, then add the sales from the fifth day and divide by 5. The total sales for the first 4 days is 4 times 26, which equals 104, and adding the 46 sales from the fifth day gives a total of 150. Dividing 150 by 5 results in an average of 30.

A (36) YOUR ANSWER

An average of 36 would imply a total sales amount of 180 over 5 days (36 multiplied by 5). However, since the total sales calculated from the given data is only 150, this option is incorrect.

B (30) CORRECT

This is the correct answer. The total sales for 5 days is 150 (which includes 104 from the first four days plus 46 from the fifth day). Dividing 150 by 5 gives an average of 30, confirming this choice is accurate.

C (28) YOUR ANSWER

An average of 28 would suggest a total of 140 sales over 5 days (28 multiplied by 5). Since the actual total sales is 150, this choice does not match the calculated total and is therefore incorrect.

D (27) YOUR ANSWER

An average of 27 indicates a total of 135 sales over 5 days (27 multiplied by 5). Again, this does not align with the calculated total of 150 sales, making this option incorrect as well.

Conclusion

To determine the average sales over 5 days, it is vital to calculate the total number of sales accurately. The correct average sales of 30 derives from the total of 150 sales divided by the 5 days. This showcases the importance of precise calculations when determining averages, especially in sales performance assessments.

The average number of sales at a certain store for 4 consecutive days is 26. If the number of sales on the fifth day is 46, what is the average number of sales for the 5 days?

The average number of sales for the 5 days is 30.

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