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?
-------------
Let # of stamps be "x":
x = 13k where k is an integer.
---
Equations:
y1 = (x-8)/12
y2 = (x-8)/16
y3 = (x-8)/20
------
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
================
Cheers,
Stan H.
|
|
|
