Question 838756
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Hi,
total amount he has invested is $4,950 
He has two times as much money invested at 10% than he does at 15% amount of {{{highlight_green(x)}}}
15% {{{highlight_green(x)}}}
10% {{{highlight_green(2x)}}}
5%  (4950 - x - 2x)  0r (4950-3x)
Question States: interest for the year comes to $520
 {{{.05(4950-3x) + .10(2x) + .15x = 520}}}
 {{{.05*4950 - .15x  + .20x + .15x = 520}}}
         .20x = 520 - 247.50 = $272.50
             .2x = $272.50
               x = $1362.50
15%  {{{1362.50 + .15*1362.50}}} = 1362.50 + 204.375
10% {{{2725 + .10*2725}}} = 2725 + 272.50
5%  {{{862.50 + .05*862.50}}} = 862.50 + 43.125
CHECKING our answer***
 {{{.15*1362.50 + .10*2725.50 + .05*862.50}}} = 204.375 + 272.50 + 43.125 = $520
Wish You the Best in your Studies.