Question

the combined land area of the countries A and B is 147,973 square kilometers. Country A is larger by 673 square kilometers. Determine the land area of each country.

Answer 1

We need to find 2 unknowns so the most natural thing to do is to generate 2 equations involving the 2 unknowns. let the land area of country A be A and the land are of B be B (easy to memorize!). we are first given that the total area is 147,973 square meters so: A + B = 147973 next, we are given a specific relationship between A and B, namely, A is 673 square meters more than B so: A = B + 673 some kids might confuse this with B = A + 673 (like they can't decide which equation is the right one). my advice is to think about which one is larger. since A is larger, we need to add 673 to the area of B to balance the equation (remember, an equation is designed to be equal on both sides!). now that we have our equations, we just need to solve them. in this case, substitution is the best way to do it. in this case, we can substiute A = B + 673 into the equaion A + B = 147973 to get: (B+673) + B = 147973 2B = 147300 B = 73650 Now we can find a using the equation A = 673 + B A = 673 + 73650 A = 74323 Let me know if you have any quetsions!

Answer 2

Well for our first step we have to divide 147,973 by 2 
lets do that first
147,973 ÷ 2 = 73,986.5 
now we know that country A is 73,986.5 bigger than the other country by 673 square kilometers. 
So lets figure out country A 
73,986.5 + 673 = 74,659.5 = country A
and since country B does not have that 673 square kilometers we subtract that from country B
73,986.5 - 673 = 73,313.5 = country B 
soooo our answers are 
country A = 74,659.5 square kilometers
country B = 73,313.5 square kilometers
now if that helped you 
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