Question 146114
Let {{{a}}}= amount invested @ 4%
Let {{{b}}}= amount invested @ 2.25%
{{{a + b = 33000}}}
{{{.04a + .0225b = 970}}}
{{{b = 33000 - a}}}
{{{.04a + .0225*(33000 - a) = 970}}}
{{{.04a + 742.5 - .0225a = 970}}}
{{{.0175a = 227.5}}}
{{{a = 13000}}}
{{{b = 33000 - a}}}
{{{b = 20000}}}
She invested $13,000 at 4% and $20,000 at 2.25%
check answer:
{{{.04a + .0225b = 970}}}
{{{.04*13000 + .0225*20000 = 970}}}
{{{520 + 450 = 970}}}
{{{970 = 970}}}
OK