Deposited 65534

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

Correct answer:

x =  10 eur

Step-by-step explanation:

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

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