Question 826000
{{{x}}}= amount, in $, invested at 5%
{{{x+100}}}= amount, in $, invested at 6%
${{{0.05x}}}= 5% annual interest on ${{{x}}}
${{{0.06(x+100)}}}= ${{{0.06x+6}}}= 6% annual interest on ${{{x+100}}}
 
The equation is {{{0.06x+6=500}}}
Solving:
{{{0.06x+6=500}}}
{{{0.06x=500-6}}}
{{{0.06x=494}}}
{{{x=494/0.06}}}
{{{highlight(x=8233.33)}}}
{{{x+100=8233.33+100}}}
{{{highlight(x+100=8333.33)}}}