Janka bank interest

Dana and Jane deposited their money in the bank in an account with an interest rate of 2.9 percent pa. How many euros did Jane invest if she earned 4.64 euros in interest and Dana 29 cents less?

Final Answer:

x =  10 eur

Step-by-step explanation:

$$\begin{gathered} q=2.9\%=\frac{2.9}{100}=0.029 \\ J\cdot q=4.64 \\ J\cdot 0.029=4.64 \\ 0.029J=4.64 \\ J=\frac{4.64}{0.029}=160 \\ J=160 \\ D\cdot q=4.64-29/100 \\ D\cdot 0.029=4.64-29/100 \\ 2.9D=435 \\ D=\frac{435}{2.9}=150 \\ D=150 \\ x=J-D=160-150=10\text{eur} \end{gathered}$$

Try another example