Question 99677
Let P=amount invested at 9%

Then P+250=amount invested at 10%

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

(1) Interest at 9%=P*(0.09)*(1)=0.09P

(2) Interest at 10%=(P+250)*(0.10)*(1)=(0.10)(P+250)

Now we are told that (1)+(2)=101 so our equation to solve is:

0.09P+(0.10)(P+250)=101  get rid of parens

0.09P+0.10P+25=101  subtract 25 from both sides
0.09P+0.10P+25-25=101-25  combine like terms

0.19P=76  divide both sides by 0.19

P=$400------------------------------------ amount invested at 9%

P+250=400+250=$650-----amount invested at 10%

CK

400*0.09+650*0.10=101

36+65=101
101=101


Hope this helps---ptaylor