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 difference between the total number of HP laptops sold by stores S and T combined and the total number of HP laptops sold by stores Q and P combined?

The correct answer is 70.

Step-by-Step Explanation:

To find the difference between the total number of HP laptops sold by stores S and T combined and the total number of HP laptops sold by stores Q and P combined, we calculate the number of HP laptops sold by each store individually.

1. Store P:
Total laptops sold = 400
Ratio of Dell : HP = 2 : 3
Total ratio parts = 2 + 3 = 5

$\text{HP laptops sold by P}=\left(\frac{3}{5}\right)\times 400=240$

2. Store Q:
Total laptops sold = 550
Ratio of Dell : HP = 6 : 5
Total ratio parts = 6 + 5 = 11

$\text{HP laptops sold by Q}=\left(\frac{5}{11}\right)\times 550=250$

3. Store S:
Total laptops sold = 600
Ratio of Dell : HP = 8 : 7
Total ratio parts = 8 + 7 = 15

$\text{HP laptops sold by S}=\left(\frac{7}{15}\right)\times 600=280$

4. Store T:
Total laptops sold = 250
Ratio of Dell : HP = 11 : 14
Total ratio parts = 11 + 14 = 25

$\text{HP laptops sold by T}=\left(\frac{14}{25}\right)\times 250=140$

5. Combined HP Sales:
Total HP laptops sold by stores S and T combined:

$\text{HP(S + T)}=280+140=420$

Total HP laptops sold by stores Q and P combined:

$\text{HP(Q + P)}=250+240=490$

6. Calculating the Difference:

$\text{Difference}=490-420=70$

Therefore, the difference between the total number of HP laptops sold by stores S and T combined and stores Q and P combined is 70.