SOLUTION: 480c + 120a = 4,920 Ancient Roman legions consisted of cohorts and alae. Each cohort consisted of 480 men on foot, and each alae consisted of 120 men on horses. The given equation

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 480c + 120a = 4,920 Ancient Roman legions consisted of cohorts and alae. Each cohort consisted of 480 men on foot, and each alae consisted of 120 men on horses. The given equation      Log On


   



Question 1195378: 480c + 120a = 4,920
Ancient Roman legions consisted of cohorts and alae. Each cohort consisted of 480 men on foot, and each alae consisted of 120 men on horses. The given equation represents the composition of one legion formed from c cohorts and a alae at the start of the first century.
I)
How many cohorts could be formed from 1,440 men on foot?
II)  
After the middle of the first century, the total number of men on foot in a legion was 5,120. These men on foot consisted of d cohorts and an additional n groups of 800 men on foot. Which of the following equations represents this information?  
A) 480d - 800n = 5,120
B) 480d + 800n = 5,120
C) 800d - 480n = 5,120
D) 800d + 480n = 5,120

Answer by MathLover1(20850) About Me  (Show Source):
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I)
How many cohorts could be formed from 1,440 men on foot?
given: Each cohort consisted of 480 men on foot
1440%2F480+=3 cohorts

II)

men on foot consisted of d+cohorts =>480d
n groups of 800 men on foot->800n
the total number of men on foot in a legion was 5120
480d+%2B+800n+=+5120
answer: B)