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

The table displays the total number of laptops sold by five different stores (P, Q, R, S, and T), which sell two brands of laptops (Dell and HP), along with the ratio of Dell laptops sold to HP laptops sold by each store.

Stores	Total number of Laptops (Dell and HP)	Ratio of Dell Laptops : HP Laptops
P	400	$2:3$
Q	550	$6:5$
R	700	$3:4$
S	600	$8:7$
T	250	$11:14$

What is the average number of HP laptops sold across all five stores?

The correct answer is 262.

Step-by-step explanation:

To find the average number of HP laptops sold across all five stores (P, Q, R, S, and T), we first calculate the number of HP laptops sold by each store individually using the given total sales and the ratio of Dell to HP laptops.

1. Store P:
Total laptops sold = 400
Ratio of Dell : HP = 2 : 3
Total ratio parts = 2 + 3 = 5
Number of HP laptops sold =
$\frac{3}{5}\times 400=240$

2. Store Q:
Total laptops sold = 550
Ratio of Dell : HP = 6 : 5
Total ratio parts = 6 + 5 = 11
Number of HP laptops sold =
$\frac{5}{11}\times 550=250$

3. Store R:
Total laptops sold = 700
Ratio of Dell : HP = 3 : 4
Total ratio parts = 3 + 4 = 7
Number of HP laptops sold =
$\frac{4}{7}\times 700=400$

4. Store S:
Total laptops sold = 600
Ratio of Dell : HP = 8 : 7
Total ratio parts = 8 + 7 = 15
Number of HP laptops sold =
$\frac{7}{15}\times 600=280$

5. Store T:
Total laptops sold = 250
Ratio of Dell : HP = 11 : 14
Total ratio parts = 11 + 14 = 25
Number of HP laptops sold =
$\frac{14}{25}\times 250=140$

Total HP laptops sold across all 5 stores:
Total = 240 + 250 + 400 + 280 + 140 = 1310

Average number of HP laptops sold per store:
Average =
$\frac{1310}{5}=262$

Therefore, the average number of HP laptops sold across all five stores is 262.