SOLUTION: MArc counts his stamps by 12, by 16, and by 20; at each time 8 remain. by conting them by 13 nothing remains. how many stamps does marc have?

Question 567940: MArc counts his stamps by 12, by 16, and by 20; at each time 8 remain. by conting them by 13 nothing remains. how many stamps does marc have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
MArc counts his stamps by 12, by 16, and by 20; at each time 8 remain. by conting them by 13 nothing remains. how many stamps does marc have?
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Let # of stamps be "x":
x = 13k where k is an integer.
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Equations:
y1 = (x-8)/12
y2 = (x-8)/16
y3 = (x-8)/20
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Put these in your graphing calculator
and look for integer solutions for y1,y2,y3.
--
Look only for solutions that are multiples of 13.
Ans:
y1 = 320
y2 = 240
y3 = 192
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Cheers,
Stan H.
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