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Sagot :
Solving the system of equations, it is found that Adrienne invested $1,366.67 in account A and $1,533.33 in account B.
System of equations:
The variables are:
- Variable A: Amount invested in account A.
- Variable B: Amount invested in account B.
The equations are:
[tex]a + b = 2900[/tex]
[tex]0.03a + 0.05b = 133[/tex]
From the first equation:
[tex]a = 2900 - b[/tex]
Replacing on the second:
[tex]0.03a + 0.05b = 133[/tex]
[tex]0.03(2900 - b) + 0.05b = 133[/tex]
[tex]0.03b = 46[/tex]
[tex]b = \frac{46}{0.03}[/tex]
[tex]b = 1533.33[/tex]
Then, on the first equation:
[tex]a = 2900 - b = 2900 - 1533.33 = 1366.67 [/tex]
Hence, Adrienne invested $1,366.67 in account A and $1,533.33 in account B.
To learn more about system of equations, you can take a look at https://brainly.com/question/14183076
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