SOLUTION: Mrs. Kelly has been teaching fifteen years less than Mr. Beers. Mrs. Nesposudny has been teaching six mor years than Mrs. Lovas. Mrs. Nesposudny has been teaching three times as

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Mrs. Kelly has been teaching fifteen years less than Mr. Beers. Mrs. Nesposudny has been teaching six mor years than Mrs. Lovas. Mrs. Nesposudny has been teaching three times as       Log On

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Question 172796: Mrs. Kelly has been teaching fifteen years less than Mr. Beers. Mrs. Nesposudny has been teaching six mor years than Mrs. Lovas. Mrs. Nesposudny has been teaching three times as long as Mrs. Kelly. Together the four have been teaching for 73 years. How long has each been teaching?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Mrs. Kelly has been teaching fifteen years less than Mr. Beers. Mrs. Nesposudny has been teaching six mor years than Mrs. Lovas. Mrs. Nesposudny has been teaching three times as long as Mrs. Kelly. Together the four have been teaching for 73 years. How long has each been teaching?
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K = B - 15
N = L +6
N=3K
B + K + L + N = 73
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Rearrange:
B + K + L + N = 73
B - K + 0 + O = 15
0 +3K + 0 - N = 0
0 + 0 + L - N = -6
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Use any method you know to solve to get:
Beers = 23 yrs. teaching
K = 8
L = 18
N = 24
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Cheers,
Stan H.