Question 1164369
Sandy had some apples and Pears. After selling 1/3 of the apples and 7 pears, the number of pears left was a quarter of the number of apples left. If the number of pears sold was 1/6 the number of the pears that were not sold, how many pears did Sandy have at first??
<pre>All the mumbo-jumbo is NOT needed, unless other questions are asked. If this is the only question associated with the problem, then ALL that’s needed is: 
Sandy had some <s>apples and </s> pears. After selling <s>1/3 of the apples and</s> 7 pears<s>, the number of pears left was a quarter of the number of apples left. If</s> the number of pears sold was 1/6 the number of the pears that were not sold, how many pears did Sandy have at first??

Let original number of pears Sandy had, be P
After selling 7 pears, she had P - 7 pears left
With number of pears sold being {{{1/6}}} of unsold pears, we have: {{{matrix(1,3, 7, "=", (1/6)(P - 7))}}} 
42 = P  -  7 ------ Multiplying by LCD, 6 
42 + 7 = P
Original number of pears, or {{{highlight_green(matrix(1,3, P, "=", 49))}}}
That's ALL! 
There's ABSOLUTELY nothing else that you need to do! Doing anything else is totally unnecessary unless you have time to waste!</pre>