Solve word problem pleaseee

Question

The combined main area of because entries of Georgia and Ireland is 139,973 square kilometers. The difference between the two countries land area is 573 km². If the Ireland has the larger land areas determine the land area of each country

Answer 1

Hi Tommi,

 

Let's set up this problem

Let I = Area of Ireland

Let G = Area of Georgia

 

From the first sentence we know

I + G = 139973

 

From the 2nd sentence we have 

I - G = 573

 

This gives us a system of linear equations

I + G = 139973

I - G = 573

 

We can use elimination to solve.

 

Adding the two equations together, term by term we have

I + G = 139973
I - G = 573

2I = 140546

 

And dividing by 2

I = 70,273

 

This means that Georgia is

70273 - G = 573

G = 70273-573 = 69,700

 

Hope that helps.