Chapter ISG, Problem 6.1.1.5P

To determine

To write the system of equations

Answer to Problem 6.1.1.5P

Equation is

  $x+y=5000$

  $1.05x+1.01y=3.50$

Constraints are 1.05 and 1.01 respectively.

Explanation of Solution

Given information:

Interest yield by 1^st account=1.05%

Interest yield by 2^nd account=1.01%

Total interest earned by her=$3.50

Calculation:

Let us assume that, $x$ be the money deposit in 1^st account and $y$ be money deposited in 2^nd account.

According to question,

  $x+y=5000$  -(1)

And,

Interest yield by 1^st account=1.05%

Interest yield by 2^nd account=1.01%

As simple interest is % of amount deposited,

Interest earned by 1^st account= $1.05x$

Interest earned by 2^nd account= $1.01y$

Now,

Total interest she earns=interest by 1^st account+ interest by 2^nd account.

Substituting the value,

  $1.05x+1.01y=3.50$   -(2)

Constraints are 1.05 and 1.01 respectively,