Question 985257


Let &nbsp;<B>x</B>&nbsp; be the total amount of the money Ms. Aquay Shun invested.


Then she invested &nbsp;{{{x/4}}}&nbsp; dollars in stocks, &nbsp;another &nbsp;{{{x/5}}}&nbsp; dollars in a frozen yogurt store, &nbsp;and yet another &nbsp;{{{x/6}}}&nbsp; dollars  in her child's college fund &nbsp;(very wisely!).


In total, &nbsp;Ms. Aquay Shun invested so far &nbsp;{{{x/4}}} + {{{x/5}}} + {{{x/6}}} dollars, &nbsp;or &nbsp;(using the common denominator, &nbsp;which is &nbsp;60)


{{{(15x + 12x + 10x)/60}}} = {{{37x/60}}} &nbsp;dollars.


How much did she invested in the bank? - The rest, &nbsp;i.e. &nbsp;&nbsp;{{{x}}} - {{{37x/60}}} = {{{((60 - 37)x)/60}}} = {{{23x/60}}}. &nbsp;And it is exactly $32,000. 


So, &nbsp;you have an equation 


{{{23x/60}}} = {{{32000}}}.


It gives you &nbsp;{{{x}}} = {{{(32000*60)/23}}} = $83478.26.


<B>Answer</B>. &nbsp;The total amount Ms. Aquay Shun has invested is &nbsp;$83478.26.