The denarius was a unit of currency in ancient rome


Asked by admin @ in Math viewed by 279 People


The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 10 denarii per day to support 4 legionaries and 4 archers. It only costs 5 denarii per day to support 2 legionaries and 2 archers. Use a system of linear equations in two variables.

Can we solve for a unique cost for each soldier?
Choose 1 answer:
1) Yes; a legionary costs 11 denarius per day to support, and an archer costs 22 denarii per day to support.
2) Yes; a legionary costs 22 denarii per day to support, and an archer costs 4/3
denarii per day to support.
(3)
No; the system has many solutions.
(4)
No; the system has no solution.

Answered by admin @



Answer:

The 3rd option is the right option.

The system has Many solution.

Step-by-step explanation:

According to given data, we have two conditions.

⇒ It costs the Roman government 10 denarii per day to support 4 legionaries and 4 archers.

⇒ It only costs 5 denarii per day to support 2 legionaries and 2 archers.

Let the cost to support 1 Legionary = x

And the cost to support 1 Archer     = y

Then according to 1st condition

4 x + 4 y = 10

Dividing both sides by 2, we get

2 x + 2 y = 5  .................. (1)

And according to 2nd condition

2 x + 2 y = 5  .................. (2)

So basically, we have only ONE equation. And being a linear equation in 2 variables, it has many solutions.






Similar Questions

Unit of currency in france discontinued in 1794

Asked by admin @ in History viewed by 262 persons

Name the unit of currency in france that was discontinued on 1794

In ancient rome which family member had the most authority

Asked by maham237 @ in History viewed by 390 persons

mother unmarried daughter father married son

Which statement describes enslaved persons in ancient rome and greece

Asked by maham237 @ in History viewed by 289 persons

Overcoming fixed mindset: a step-by-step guide to cultivating a growth mindset

Asked by wiki @ in Health viewed by 1287 persons

Which of the following would best complete this list?

Asked by wiki @ in Social Studies viewed by 746 persons

What had the king decided to do before he saw the spider

Asked by vanshika149 @ in English viewed by 1144 persons

Describe the karez in your own words

Asked by rajesh064 @ in English viewed by 1312 persons

What is 8 + (x + 5)?

Asked by jaylord7 @ in Mathematics viewed by 1098 persons

What is the topic of the info grapher

Asked by jesus643 @ in History viewed by 1395 persons

Elephant kills 11 in nepal , woman rescued from a friendly dolphine

Asked by kavin044 @ in English viewed by 1272 persons

(-3,0);slope =2/3

Asked by timothy2 @ in Biology viewed by 1653 persons

Which is an example of situational irony in "wherefore art thou romeo?”

Asked by noah5213 @ in English viewed by 1585 persons

Most viewed questions in Math


What is the value of x in the expression

Asked by admin @ in Math viewed by 15174 persons


Shubham is facing south and moves 30 km

Asked by admin @ in Math viewed by 12989 persons


Prachi excellence in mathematics class 7 solutions pdf free download

Asked by admin @ in Math viewed by 12047 persons



Oxford new enjoying mathematics class 7 solutions chapter 1

Asked by admin @ in Math viewed by 11525 persons


Survey of various types of bank accounts icse project

Asked by admin @ in Math viewed by 11510 persons


The town of p is located at point x

Asked by admin @ in Math viewed by 11361 persons



A clock gains 4 minutes after every 4 minutes

Asked by admin @ in Math viewed by 10174 persons


Running a tuck shop or canteen maths project pdf

Asked by admin @ in Math viewed by 9392 persons


Paul is sixteenth from the front of the row

Asked by admin @ in Math viewed by 9354 persons



The average weight of 20 teachers is 80 kg

Asked by admin @ in Math viewed by 7526 persons


The number 567 xy is completely divisible by 30

Asked by admin @ in Math viewed by 7404 persons


In a row of friends tiya occupies fifteenth place

Asked by admin @ in Math viewed by 7209 persons



What would $ mean if fat is coded as

Asked by admin @ in Math viewed by 5278 persons


Consider a 3 digit integer x with distinct digits

Asked by admin @ in Math viewed by 4806 persons


Rahul went to his mother's mother in law

Asked by admin @ in Math viewed by 4181 persons