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Sagot :
Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:
[tex]x+450[/tex]To calculate the total interest we need to calculate the interest of each individual account and sum them:
[tex]\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}[/tex]The total interest is the sum of the two expressions above:
[tex]\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}[/tex]The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.
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