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Question

Difficulty: MediumRatios and Proportions

A cybersecurity team analyzes network traffic and categorizes detected threats into low, medium, and high severity in a ratio of 9:5:29:5:2. If the team logged exactly 145145 medium severity threats during a shift, what was the total number of threats logged across all three categories?

Answer: 464 threats

Answer

464
The correct answer is found by first determining the value of a single ratio part. Since 55 parts represent 145145 medium threats, one part equals 2929 threats. Multiplying this base unit by the total number of parts (1616) gives the total of 464464 threats.

Step-by-Step Solution

1
Determine the total number of parts in the ratio.
9+5+2=169 + 5 + 2 = 16 parts
To find the total amount of threats, we first need to know how many total parts make up the complete ratio.
2
Find the numerical value of a single part.
145÷5=29145 \div 5 = 29 threats per part
We know that 55 parts equal 145145 medium threats. Dividing the count by the parts gives the baseline value of one part.
3
Calculate the total number of threats.
29×16=46429 \times 16 = 464 threats
Multiplying the value of one part by the total number of parts yields the total count across all categories.

Key Concept

Solving Part-to-Whole Ratio Problems
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Topics

Ratios and Proportions

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