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Question

the largest country in the state of New York is 1769 square miles larger than the smallest country in the same state. The size of the largest country is 64 times the size of the smallest country plus five square miles. How large is the smallest country in the state of new york? explain what you do

Answer 1

Let L equal the larger county and S equal the smaller county. Now set up the equations

L-S = 1769 and
L = 64S + 5 Substitute 64S + 5 for l in the first equation and get
64S + 5 - S = 1769 Then
63S = 1764 and S = 28 square miles. Then
L-28 = 1769 and L = 1797

HTH ☺

Doug

Damn!!!!! I'm out of cigarettes *and* Scotch. This will never do. See y'all in a bit ☺

Answer 2

Since the largest country is 1769 square miles and is 64 times the smallest plus 5, to find the answer you first subtract 5 from 1769 and you are left with 1764. Then divide 1764 by 64 which is equal to 27.5625 square miles. And thats the size of the smallest state.
Note: To check your answer- multiply 27.5625 by 64 then add 5 and you will get back the size of the largest state.

Answer 3

Let L=Largest and S=Smallest

so L=S+1769

and L=64S+5

solve for S

s+1769=64s+5

Gather like terms

63s=1764

s=1764/63=28

Answer 4

L = S + 1769, and
L = 63S + 5

Therefore:
S + 1769 = 63S + 5
1764 = 63S
28 = S
The smallest county is 28 square miles.

The largest county is 1769 + 28 = 1797 square miles.

Answer 5

Divide 1769 by 64 = 27.64 - 5 = 22.64. The largest county is 1769 square miles + 5 larger than the smallest being 22.64. 1769 + 22.64 + 5 = 1796.64 being the largest county and 22.64 being the smallest.

Answer 6

Largest county = L
Smallest = S
L = S + 1769
L = 64 S + 5
L - 5 = S + 1764 = 64 S
Therefore, 63 S = 1764, so S = 28
and L = 1797