Intertemporal choice, Microeconomics

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I am struggling with this basic example. I understand how to calculate everything else but when I get to the point where I should take the equation together with the budget equation to solve for $c_1$ and $c_2$, then I get puzzled. For some reason I am not able to find $c_1=105$ and $c_2=115.50$. Could someone please help me to find it?

Where should I plug in this $c_2/c_1=1.1$?

EXAMPLE

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Use $c_2=1.1c_1$ in $c_1 +\frac{c_2}{1.1} = 210$