Directions: Analyze the data presented in the table below to answer the question.

The following table displays the total volume of smart wearables (Smartwatches and Fitness bands) shipped by five different electronics brands, alongside the ratio of Smartwatches to Fitness bands shipped by each brand.

Brands	Total smart wearables shipped	Smartwatches : Fitness bands
P	700	5:9
Q	850	9:8
R	980	4:3
S	1200	8:7
T	1020	5:7

Determine the difference between the total number of fitness bands shipped by brands T and S combined and the total number of smartwatches shipped by brands R and P combined.

The correct option is 345.

Step-by-Step Explanation:

To solve this problem, we need to calculate two quantities based on the data given in the table:
1. The total number of smartwatches shipped by brands R and P combined.
2. The total number of fitness bands shipped by brands T and S combined.
Finally, we will find the difference between these two quantities.

Step 1: Calculate the number of Smartwatches shipped by Brands P and R

For Brand P:
- Total smart wearables shipped = 700
- Ratio of Smartwatches to Fitness bands = 5 : 9
- Total parts = 5 + 9 = 14

$\text{Smartwatches (P)}=700\times \frac{5}{14}=250$

For Brand R:
- Total smart wearables shipped = 980
- Ratio of Smartwatches to Fitness bands = 4 : 3
- Total parts = 4 + 3 = 7

$\text{Smartwatches (R)}=980\times \frac{4}{7}=560$

Total smartwatches shipped by brands R and P combined:

$\text{Combined Smartwatches (R + P)}=560+250=810$

Step 2: Calculate the number of Fitness bands shipped by Brands S and T

For Brand S:
- Total smart wearables shipped = 1200
- Ratio of Smartwatches to Fitness bands = 8 : 7
- Total parts = 8 + 7 = 15

$\text{Fitness bands (S)}=1200\times \frac{7}{15}=560$

For Brand T:
- Total smart wearables shipped = 1020
- Ratio of Smartwatches to Fitness bands = 5 : 7
- Total parts = 5 + 7 = 12

$\text{Fitness bands (T)}=1020\times \frac{7}{12}=595$

Total fitness bands shipped by brands T and S combined:

$\text{Combined Fitness bands (T + S)}=595+560=1155$

Step 3: Calculate the required difference

Subtract the total smartwatches of (R + P) from the total fitness bands of (T + S):

$\text{Difference}=1155-810=345$

Hence, the required difference is 345.