Question 107320




Equal amounts are invested at 6%, 7%, and 8% annual interest. If the three investments yield a total of ${{{2037}}} annual interest, find the total investment.

If amount is {{{x}}}, then

{{{(6/100)x + (7/100)x + (8/100)x = 2037}}}……..multiply both sides by {{{100}}}

{{{6x + 7x + 8x = 203700}}}
{{{21x = 203700}}}
{{{x = 203700/21}}}
{{{x = 9700}}}...........total investment

check:

{{{(6/100)9700 = 582}}}
{{{(7/100)9700 = 679}}}
{{{(8/100)9700 = 776}}}

{{{582 +  679 + 776 = 2037}}}.....annual interest