Match each military supply and maintenance inventory count to its correctly simplified rat… — Armed Services Vocational Aptitude Battery (ASVAB)

Match each military supply and maintenance inventory count to its correctly simplified ratio.

Inventory shows $24$ tactical vehicles and $8$ utility trucks. Find the ratio of tactical vehicles to utility trucks. $3:1$
A tool kit contains $10$ flathead and $15$ Phillips screwdrivers. Find the ratio of flathead to Phillips screwdrivers. $2:3$
Inspection results show $20$ passed tires and $5$ failed tires. Find the ratio of passed tires to failed tires. $4:1$
A medical kit contains $10$ bandages, $5$ gauze rolls, and $15$ antiseptic wipes. Find the ratio of bandages to gauze rolls to antiseptic wipes. $2:1:3$

The correct matches pair each scenario to its mathematically simplified ratio.

Each correct match is found by writing the quantities in the requested order and then dividing all terms by their greatest common factor.

Identify the quantities to be compared in the exact order requested by each scenario.

The numerical values are extracted in the correct sequence.

Ratios represent a specific relationship, and the order of the terms must match the order requested in the text.

Write the initial unsimplified ratios for all scenarios.

The initial ratios are

24:8

10:15

20:5

, and

10:5:15

This establishes the mathematical baseline before simplification.

Find the greatest common factor (GCF) for the numbers in each ratio and divide.

The simplified ratios are

3:1

2:3

4:1

, and

2:1:3

Ratios should always be expressed in their simplest terms.

Basic Ratios and Simplification

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