system of linear equations

Question

Jermaine has a total of $13,500 in his money market and certificate of deposit account. The money market account pays him 0.90% while the CD account pays 1.3% interest. If he earned $155.50 in interest in one year, how was his money divided between the two accounts? Use m for the money market account and c for the certificate of deposit account.
(a) Set up a linear system of linear equations that models the situation. Use m for the money market account and c for the certificate of deposit account. (Convert any percents to decimals.)
Equation 1
(Jermaine has a total of $13,500 in his money market and certificate of deposit account.)
Equation 2
(The money market account pays him 0.90% while the CD account pays 1.3% interest and he earned $155.50 in interest in one year.)

(b) Solve the system using substitution or elimination and write your answer to the problem in a complete sentence.
Jermaine had $
in his money market account and $
in his certificate of deposit account.

Answer 1

m + c = 13500 or m = 13500 - c

0.009m + 0.013c = 155.50

substitue first into second eqn

0.009(13500 - c) + 0.013c = 155.5

121.5 - 0.009c + 0.013c = 155.5

0.004c = 34

c = 8500

then from m = 13500 - c = 13500 - 8500 = 5000

 

I leave the rest to you.