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

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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)   (Show Source): You can put this solution on YOUR website!

I)
How many cohorts could be formed from 1,440 men on foot?
given: Each cohort consisted of men on foot
cohorts

II)

men on foot consisted of cohorts =>
groups of men on foot->
the total number of men on foot in a legion was

answer: B)


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