<p>Need help with a math problem:</p>
<p>Can anyone give me a detailed explanation to the following problem? I got it from the Barron's Math Workbook:</p>
<p>After "M" marbles are put into "N' jars, each jar contains the same number of marbles, with two marbles remaining. In terms of "M" and "N", how many marbles were put into each jar?</p>
<p>A. M/N + 2
B. M/N - 2
C. (M+2)/N
D.(M-2)/N
E. MN/N+2</p>
<p>After "M" marbles are put into "N' jars, each jar contains the same number of marbles, with two marbles remaining. In terms of "M" and "N", how many marbles were put into each jar?</p>
<p>A. M/N + 2
B. M/N - 2
C. (M+2)/N
D.(M-2)/N
E. MN/N+2</p>
<hr>
<p>Simple answer:</p>
<p>If M marbles were put into N jars with two left over, then the actual number of marbles in jars is M-2. If you split that number equally among N jars, you get (M-2)/N.</p>
<p>More complicated answer:</p>
<p>The question, in other words, is saying that N goes into M some k number of times with two left over. Or, M/N = k + 2/N</p>
<p>We therefore know that there are k marbles in each jar.
Solve for k.</p>
<p>M/N - 2/N = k
(M-2)/N = k</p>
<p>Thanks for the explanation..It helped.</p>