Lucinda is a cross-country 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?

Miles, Lucinda skied on Saturday = 42

Miles, Lucinda skied on Sunday = 21

Step-by-step explanation:

Given:

On Saturday Lucinda skied twice as many miles as she did on Sunday.

Total miles skied over the weekend = 63

To find the miles she skied each day.

Solution:

Let the miles Lucinda skied on Sunday be =

On Saturday, she skied twice as many mile as on Sunday.

Thus, miles Lucinda skied on Saturday will be =

The total miles skied over the weekend will be given as:

⇒

⇒

Thus we can equate the above expression with the total miles skied over the weekend.

We have:

Solving for

Dividing both sides by 3.

∴

Thus, Lucinda skied 21 miles on Sunday and twice that which is 42 on Saturday.

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step-by-step explanation: