Question 214074
Let {{{b}}} = dollars invested in bond
Then {{{12000 - b}}} will equal dollars invested in savings
given:
Interest earned from bond = {{{.09b}}}
Interest earned from savings = {{{.06*(12000 - b)}}}
{{{.09b + .06*(12000 - b) = 930}}}
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Solve the equation for {{{b}}}
{{{.09b + 720 - .06b = 930}}}
Subtract {{{720}}} from both sides
{{{.09b - .06b = 930 - 720}}}
{{{.03b = 210}}}
{{{b = 7000}}}
and
{{{12000 - b = 12000 - 7000}}}
{{{12000 - b = 5000}}}
Anthony invested $7,000 in the bond and $5,000 in savings
check the answer:
{{{.09b + .06*(12000 - b) = 930}}}
{{{.09*7000 + .06*5000 = 930}}}
{{{630 + 300 = 930}}}
{{{930 = 930}}}
OK