SOLUTION: Jan invested 1200 dollars to a certain simple intrest rate and 2200 dollars at a rate of 3 percent higher. Her annual earning was 253 dollars. Find the two intrest rates if she e

Question 155193: Jan invested 1200 dollars to a certain simple intrest rate and 2200 dollars at a rate of 3 percent higher. Her annual earning was 253 dollars. Find the two intrest rates if she earned 121 dollars more on the higher than on the smaller.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
1200X+2200(X+3)=253 OR 1200X-253=-2200(X+3)
1200X+121=2200(X+3)NOW ADD THE 2 EQUATIONS
1200X-253=-2200(X+3)
---------------------
2400X-132=0
2400X=132
X=132/2400
X=.055 OR %5.5% FOR THE $1200 INVESTMENT.
.055+.03=.085 0R 8.5% FOR THE $2200 INVESTMENT.
PROOF
1200*.055+2200*.085=253
66+187=253
253=253
RELATED QUESTIONS
Jan invested $1200 at a certain simple interest rate and $2200 at a rate of 3% higher.... (answered by lwsshak3)

I have been working on this problem for awhile now and I still can't figure it out. I was (answered by ankor@dixie-net.com)

How would I solve this problem? Someone invested $1200 at a certain interest rate and... (answered by stanbon)

two investments were made totaling 8800 dollars. for a certain year these investments... (answered by Maths68)

A woman has a certain amount of money invested at a particular rate of interest. If she... (answered by lwsshak3)

Leroy invested $400 at a certain interest rate and $1200 at a rate 3% higher. He earned... (answered by Theo)

the simple intrest I on a principle of P dollars at an intrest rate of R for time T in... (answered by checkley71)

The simple intrest I on a principal of P dollars at an intrest rate R for time T in ten... (answered by 303795)

A man invested $6,000, part of it at 5% simple intrest and the rest at 7% simple intrest. (answered by math problem solving)