Examkin

Soru

Zorluk: KolayBasic 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

Cevap

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.

Adım Adım Çözüm

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.

Anahtar Kavram

Simplifying part-to-part ratios
Bu soruyu puanla

Konular

Basic Ratios

Bu konudan daha fazla soru