Question 178240
{{{50000 - 20000 = 30000}}} is the amount
she had to invest
Let {{{d}}} = amount invested in Dreyfus
Let {{{t}}}= amount invested in Templeton
Given:
(1) {{{d + t = 30000}}}
{{{.16d}}}= annual yield from Dreyfus
{{{.25t}}}= annual yield from Templeton
(2) {{{.16d + .25t = 6060}}}
Multiply both sides of (1) by {{{.25}}}
and subtract (2) from (1)
{{{.25d + .25t = 7500}}}
{{{-.16d - .25t = -6060}}}
{{{.09d = 1440}}}
{{{d = 16000}}}
And, since
(1) {{{d + t = 30000}}}
{{{16000 + t = 30000}}}
{{{t = 14000}}}
She invested $16000 in Dreyfus and $14000 in Templeton
check:
{{{.16d + .25t = 6060}}}
{{{2560 + 3500 = 6060}}}
{{{6060 = 6060}}}
OK