Soru

Zorluk: OrtaBasic Ratios

A motor pool tracks the inventory of tactical vehicles and support vehicles assigned to different units. Match each unit's vehicle inventory to its equivalent simplified ratio of tactical vehicles to support vehicles.

  • Alpha Unit: 4545 tactical and 1515 support3:13:1
  • Bravo Unit: 2424 tactical and 3232 support3:43:4
  • Charlie Unit: 4242 tactical and 1818 support7:37:3
  • Delta Unit: 3535 tactical and 2525 support7:57:5

Cevap

Alpha matches to 3:13:1, Bravo matches to 3:43:4, Charlie matches to 7:37:3, and Delta matches to 7:57:5.
Each correct pairing is identified by writing the initial inventory as a part-to-part ratio in the specified order (tactical to support), then reducing the numbers by dividing both terms by their greatest common divisor.

Adım Adım Çözüm

1
Set up the initial ratio for Alpha Unit as tactical to support.
45:1545:15
The question specifically asks for the ratio of tactical vehicles to support vehicles in that exact order.
2
Simplify the ratio for Alpha Unit by finding the greatest common divisor (GCD).
3:13:1
The GCD of 4545 and 1515 is 1515. 45÷15=345 \div 15 = 3 and 15÷15=115 \div 15 = 1.
3
Set up and simplify the ratio for Bravo Unit (2424 to 3232).
3:43:4
The GCD of 2424 and 3232 is 88. 24÷8=324 \div 8 = 3 and 32÷8=432 \div 8 = 4.
4
Set up and simplify the ratio for Charlie Unit (4242 to 1818).
7:37:3
The GCD of 4242 and 1818 is 66. 42÷6=742 \div 6 = 7 and 18÷6=318 \div 6 = 3.
5
Set up and simplify the ratio for Delta Unit (3535 to 2525).
7:57:5
The GCD of 3535 and 2525 is 55. 35÷5=735 \div 5 = 7 and 25÷5=525 \div 5 = 5.

Anahtar Kavram

To find an equivalent simplified ratio, establish the correct part-to-part order and divide both quantities by their greatest common divisor.
Tahmini Süre:1m 30s
Bu soruyu puanla