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

Find the ratio of the total number of smartwatches shipped by brands P and S combined to the total number of fitness bands shipped by brands Q and T combined.

The correct option is 178 : 199.

Step 1: Extract data from the given table

The table provides the total number of smart wearables shipped and the ratio of Smartwatches to Fitness bands for each brand:

• Brand P: Total shipped = 700, Ratio (Smartwatches : Fitness bands) = 5 : 9

• Brand Q: Total shipped = 850, Ratio (Smartwatches : Fitness bands) = 9 : 8

• Brand S: Total shipped = 1200, Ratio (Smartwatches : Fitness bands) = 8 : 7

• Brand T: Total shipped = 1020, Ratio (Smartwatches : Fitness bands) = 5 : 7

Step 2: Calculate the number of smartwatches shipped by brands P and S combined

For Brand P:

Total parts in ratio = $5+9=14$

Smartwatches shipped by Brand P = $\frac{5}{14}\times 700=250$

For Brand S:

Total parts in ratio = $8+7=15$

Smartwatches shipped by Brand S = $\frac{8}{15}\times 1200=640$

Total smartwatches shipped by Brands P and S combined:

$250+640=890$

Step 3: Calculate the number of fitness bands shipped by brands Q and T combined

For Brand Q:

Total parts in ratio = $9+8=17$

Fitness bands shipped by Brand Q = $\frac{8}{17}\times 850=400$

For Brand T:

Total parts in ratio = $5+7=12$

Fitness bands shipped by Brand T = $\frac{7}{12}\times 1020=595$

Total fitness bands shipped by Brands Q and T combined:

$400+595=995$

Step 4: Determine the required ratio

The ratio of total smartwatches (P and S) to total fitness bands (Q and T) is:

$890:995$

Simplifying the ratio by dividing both numbers by 5:

$\frac{890}{5}:\frac{995}{5}=178:199$

Hence, the required ratio is 178 : 199.