SOLUTION: Together lake superior and lake michigan cover 54 thousand square miles. lake superior is approximately 10,000 square miles larger than lake michigan. find the sizes of both lakes

Question 552441: Together lake superior and lake michigan cover 54 thousand square miles. lake superior is approximately 10,000 square miles larger than lake michigan. find the sizes of both lakes
Answer by neatmath(302) (Show Source): You can put this solution on YOUR website!

Let S be Lake Superior, and let M be Lake Michigan.

Then we are given:

and

Since the second equation is already solved in terms of S,

lets substitute that value for S into the first equation:

given

substituted

simplified

combined like terms

subtracted 10000 from both sides

divided both sides by 2

Then we can plug this value for M into either equation to find S:

given

substituted

combined like terms

So we can now see that Lake Superior covers about 32000 square miles,

while Lake Michigan covers about 22000 square miles.

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