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# help

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Lucinda is a cross-county ski racer. On Saturday she skied twice as many miles as she did on Sunday. Over the weekend she skied a total of 63 miles. How far did she ski on each day?

Jan 22, 2020

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Lucinda is a cross-county ski racer. On Saturday she skied twice as many miles as she did on Sunday.
Over the weekend she skied a total of 63 miles. How far did she ski on each day?

$$\text{Let Saturday = x } \\ \text{Let Sunday = y }$$

$$\begin{array}{|rcll|} \hline \mathbf{x + y} &=& \mathbf{63~miles} \\ y &=& 63 - x \\\\ \mathbf{x} &=& \mathbf{2y} \\ x &=& 2(63 - x) \\ x &=& 126 - 2x \\ 3x &=& 126 \quad | \quad : 3 \\ \mathbf{x} &=& \mathbf{42~miles} \\\\ y &=& 63 - x \\\\ y &=& 63 - 42 \\ \mathbf{y} &=& \mathbf{21~miles} \\ \hline \end{array}$$

On Saturday she skied $$\mathbf{42~miles}$$
On Sunday she skied $$\mathbf{21~miles}$$

Jan 22, 2020