## 6. Ana Maria had $28,000 to invest. She divided the money into three different accounts. At the end of the year, she earned $1.1

6.

Ana Maria had $28,000 to invest. She divided the money into three

different accounts. At the end of the year, she earned $1.160 in interest.

The annual yield on each of the three accounts was 3.5%. 4.25% and

4.75%. The amount of money in the 4.75% account was 75% of the

amount of money in the 3.5% account. Define the variables and write a

system of equations to represent the situation.

## Answers ( )

Answer:x + y + z = 28,000

0.035x + 0.0425y + 0.0475z = 1160

z = 0.75x

Step-by-step explanation:Let x = amount invested at 3.5%.

Let y = amount invested at 4.25%.

Let z = amount invested at 4.75%.

The total amount is $28,000.

Equation 1:

x + y + z = 28,000

The total interest is $1,160.

Equation 2:

0.035x + 0.0425y + 0.0475z = 1160

“The amount of money in the 4.75% account was 75% of the

amount of money in the 3.5% account.”

Equation 3:

z = 0.75x

The system of equations is:

x + y + z = 28,000

0.035x + 0.0425y + 0.0475z = 1160

z = 0.75x