Question

Difficulty: MediumRatio, Proportion, and Percent Calculations

The table below presents subscriber numbers and annual operating revenue data for five regional divisions of a telecommunications provider in fiscal year 2025.

RegionTotal Broadband Subscribers (thousands)Fiber-Optic Subscribers (thousands)Total Operating Revenue ($ millions)
North25015045.0
South40020064.0
East1809027.0
West32022457.6
Central50035080.0

Across the two regional divisions with the highest total operating revenue combined, fiber-optic subscribers represent what percentage of total broadband subscribers? Express your answer to the nearest tenth of a percent.

Answer: 61.1 %

Answer

61.1%
To find the proportion of fiber-optic subscribers across the top two revenue-generating divisions, first rank the divisions by Total Operating Revenue: Central (80.0M)andSouth(80.0M) and South ( 64.0M) are the highest. Combine their subscriber counts to find the appropriate base: Central has 500 thousand total broadband subscribers and South has 400 thousand, giving a total base of 500+400=900500 + 400 = 900 thousand. Next, combine their fiber-optic subscribers: Central has 350 thousand and South has 200 thousand, giving 350+200=550350 + 200 = 550 thousand fiber-optic subscribers. The combined percentage is 550900×100%61.111%\frac{550}{900} \times 100\% \approx 61.111\%, which rounds to 61.1%61.1\%.

Step-by-Step Solution

1
Identify the top two divisions by operating revenue
Central (80.0M)andSouth(80.0M) and South ( 64.0M)
The question specifically restricts the calculation to the two divisions with the highest operating revenue.
2
Sum total broadband subscribers for Central and South
500 + 400 = 900 thousand subscribers
This establishes the correct aggregate base value for the percentage calculation.
3
Sum fiber-optic subscribers for Central and South
350 + 200 = 550 thousand subscribers
This gives the total combined numerator value for the fiber-optic subgroup.
4
Calculate percentage and round to the nearest tenth
(550 / 900) * 100% = 61.111...% -> 61.1%
Dividing the target subgroup total by the base total yields the requested proportion.

Key Concept

Ratio, Proportion, and Percent Calculations across Filtered Aggregate Groups
Estimated Time:1m 30s
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