<p>When the positive integer 'm' is divided by 5, the remainder is 3. What is the remainder when 20m is divided by 25?</p>
<p>i got 2, whereas college board says its 10..so some help plz..</p>
<p>thanks</p>
<p>"When the positive integer 'm' is divided by 5, the remainder is 3." =
m = 5 k + 3.</p>
<p>So </p>
<p>20 m = 20 (5k+3) = 25 (4k+2) + 10, with 25 > 10.</p>
<p>So "when 20m is divided by 25", the remainder is 10.</p>
<p>BTW, how did you get your answer?</p>
<p>Here's what I did. </p>
<p>M divided by 5 has a remainder of 3. Well, 5 divided by 8 has a remaineder of 8. So M=8 (We don't really know if its true, but hey! It works!)</p>
<p>20(8)=160
160/25= 6 R 10</p>
<p>So the answer is 10, just like akjt & collegeboard said.</p>
<p>I think you can pick just about any integer that works (i.e. 8, 13, 18, etc. - they're all 5k+3) and figure it out from there. A little bit simpler than working with an unknown variable</p>
<p>^yup, you can solve it in a few seconds like that.</p>
<p>akjt, I didn't quite follow your reasoning at the end; what did you mean by "with 25 > 10"?</p>
<p>thanks for ur replies..i see my mistake..i was using the calculator as i was too lazy to work it by hand and that screwd me..my carelessness..</p>
<p>thnks anyways.</p>
<p>20 (5k+3) can be expressed in infinitely many ways, and 25 (4k+2) + 10 is one of them. Certainly you can write 20 (5k+3) = 25 (4k+1) + 35. Since 35 > 25, so 35 is not the remainder. When 20m is divided by 25, the remainder has to be a number between 0 and 24. The condition "25 > 10" indicates that.</p>
<p>Shut up. You already had your chance to post the confusing answer. We've alread posted the 'makes sense to me' answer. :D</p>
<p>wut kind of school discipline?</p>
<p>and I don't see how more police will help. You'll feel safer, but it won't make omgsomuch of a difference, you think?</p>
<p>i say give the man what he wants</p>
<p>he seems like a wise person.</p>
<p>yea, you skaters tend to cause mischief</p>
<p>this is why eggs were made</p>