Given:
Account 1:
Principal amount (P)= x
Rate (R) = 7%
Account 2:
Principal amount (p) = x+800
Rate (R) = 13%
Total interest = $333
The simple interest is given as,
[tex]\begin{gathered} I=\text{PRN} \\ I_1+I_2=333 \\ x\times\frac{7}{100}\times1+(x+800)\times\frac{13}{100}\times1=333 \\ x\times\frac{7}{100}+(x+800)\times\frac{13}{100}=333 \\ 0.07x+0.13x+104=333 \\ 0.2x=229 \\ x=\frac{229}{0.2} \\ x=1145 \end{gathered}[/tex]So, the amount in account 1 is x = $1145
Account 2: x+800= $1945
The interest in each account is,
Account 1 :
[tex]\begin{gathered} I_1=x\times\frac{7}{100}\times1 \\ =1145\times\frac{7}{100} \\ =80.15 \end{gathered}[/tex]Account 2:
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