Question 1197889
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Here is one of many alternative methods for solving the problem; this one breaks the solution into two steps, as opposed to the "standard" setup using a single equation to represent the whole problem.<br>
Subtract 5/12 of the number from 3/4 of the number:<br>
{{{(3/4)n-(5/12)n=(9/12)n-(5/12)n=(4/12)n=(1/3)n}}}<br>
The result is 7 less than 5/6 of the number:<br>
{{{(5/6)n-(1/3)n=(5/6)n-(2/6)n=(3/6)n=(1/2)n=7}}}
{{{n=14}}}<br>
ANSWER: 14<br>