Question 145399
Let {{{d}}}= amount invested in Dreyfus Fund
Let {{{t}}}= amount invested in Templeton Fund
{{{50000 + 6060 = 20000 + 1.16d + 1.25t}}}
{{{t + d = 50000 - 20000}}}
{{{t = 30000 - d}}}
Substitute this into the 1st equation
{{{56060 = 20000 + 1.16d + 1.25*(30000 - d)}}}
{{{56060 - 20000 = 1.16d + 37500 - 1.25d}}}
{{{36060 - 37500 = - .09d}}}
{{{-.09d = -1440}}}
{{{d = 16000}}}
{{{t = 30000 - d}}}
{{{t = 14000}}}
She invested $16,000 in the Dreyfus Fund and $14,000 in the Templeton Fund
Check answer:
{{{50000 + 6060 = 20000 + 1.16d + 1.25t}}}
{{{50000 + 6060 = 20000 + 1.16*16000 + 1.25*14000}}}
{{{56060 - 20000 = 18560 + 17500}}}
{{{36060 = 36060}}}
OK