35. 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?
Answer: B
The average number of sales for the 5 days is 30.
To find the average number of sales for the 5 days, first calculate the total sales for the first 4 days. The average for these days is 26, so the total sales for 4 days is 26 * 4 = 104. Adding the sales from the fifth day, which is 46, gives a total of 104 + 46 = 150. The average for all 5 days is then 150 / 5 = 30.
A) 36
Option A is incorrect because calculating the average as 36 would imply a total sales amount of 36 * 5 = 180. This total does not match the actual total sales of 150, thus making this option invalid.
B) 30
This option is correct as it accurately reflects the average calculated from the total sales of 150 divided by 5 days, resulting in an average of 30.
C) 28
Option C is incorrect because if the average were 28, the total sales would be 28 * 5 = 140. This total is lower than the actual total sales of 150, indicating that this option is not feasible.
D) 27
Option D is also incorrect. An average of 27 would suggest a total sales figure of 27 * 5 = 135. This total is again lower than the actual total sales of 150, making this option invalid.
Conclusion
The correct answer is 30 because it accurately represents the average calculated from the total sales across the five days. All other options present totals that do not align with the actual sales figures, confirming their incorrectness. Therefore, option B stands out as the only viable choice based on the provided data.