Examkin

Question

Difficulty: EasyBasic Ratios

Match each military personnel or equipment scenario to its correctly simplified part-to-part ratio.

  • A motor pool has 20 transport trucks and 5 command vehicles. Find the ratio of transport trucks to command vehicles.4:1
  • A medical unit has 6 medics and 18 infantrymen. Find the ratio of medics to infantrymen.1:3
  • A supply drop contains 10 crates of water and 15 crates of food. Find the ratio of water crates to food crates.2:3
  • A training class has 12 officers and 8 enlisted personnel. Find the ratio of officers to enlisted personnel.3:2

Answer

The correct matches simplify each starting ratio by finding the greatest common divisor for both terms in the specified order.
Each scenario describes a straightforward part-to-part relationship. By arranging the quantities in the requested order and dividing both numbers by their greatest common divisor, we arrive at the simplest equivalent ratio for each match.

Step-by-Step Solution

1
Identify the initial quantities in the specific order requested by each scenario.
20:5 for trucks to command vehicles; 6:18 for medics to infantry; 10:15 for water to food; 12:8 for officers to enlisted.
Establishing the correct order is strictly required to prevent inverted ratios.
2
Determine the greatest common divisor (GCD) for each pair of numbers.
The GCD for 20 and 5 is 5. The GCD for 6 and 18 is 6. The GCD for 10 and 15 is 5. The GCD for 12 and 8 is 4.
Dividing by the GCD reduces the ratio to its lowest, simplest form.
3
Divide both terms of each raw ratio by their respective GCD.
20:5 becomes 4:1. 6:18 becomes 1:3. 10:15 becomes 2:3. 12:8 becomes 3:2.
This calculation yields the final simplified part-to-part ratio for each scenario, which directly pairs with the right-hand items.

Key Concept

Simplifying part-to-part ratios
Rate this question

Topics

Basic Ratios

More questions from this topic