Question 102271
Interest(I)=Principal(P) times Rate(R) times Time(T) or I=PRT

Let P=amount invested at 12%
(1)  Interest earned at 12%=P*0.12*1=0.12P

Then (17,500-P)=amount invested at 10%
(2)  Interest earned at 10%=($17,500-P)*0.10*1=0.10($17,500-P)

Now we are told that (1)+(2)=$1,941, so our equation to solve is:

0.12P+0.10($17,500-P)=$1,941  get rid of parens

0.12P+$1,750-0.10P=$1,941  subtract $1,750 from both sides

0.12P+$1,750-$1,750-0.10P=$1,941-$1,750  collect like terms

0.02P=$191  divide both sides by 0.02

P=$9,550-------------------------------amount invested at 12%

($17,500-P)=$17,500-$9,550)=$7,950----------amount invested at 10%

CK

$9550*0.12+$7950*0.10=$1941

$1146+$795=$1941
$1941=$1941

Hope this helps----ptaylor