##### Applications and equations

 Algebra Tutor: None Selected Time limit: 1 Day

The combined land areas of countries A&B is 147,973 square kilometers.Country A is larger by 573 square kilometers.

Determine the land area of each country.

Sep 14th, 2015

Let's write down what we know.

We know we have two countries,

A= country 1

B= country 2

We know that their combined areas is 147,973.

So, A+B=147,973 sq km

We also know that Country A is larger than Country B by 573.

Thus A=B+573

Step 1: Substitute A=B+573 into The first equation

A+B=147973

(B+573)+B=147973 (combine like terms)

2B+573=147973  (Subtract 573 from both sides)

2B=147400 (divide by 2 from both sides)

B=73,700 sq km

Substitute B=73,700 into the first equation to solve for A

A+B=147973

A+73,700=147973 (subtract 73,700 from both sides)

A=74273

A=73700+573=74,272 check!

Thus

Country A =74,272 square kilometers

Country B= 73,700 square kilometers.

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Sep 14th, 2015

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Sep 14th, 2015
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Sep 14th, 2015
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