Question

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?

Answer 1

Answer:

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 = $x$

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

Thus, miles Lucinda skied on Saturday will be = $2x$

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

⇒ $x+2x$

⇒ $3x$

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

We have:

$3x=63$

Solving for $x$

Dividing both sides by 3.

$\frac{3x}{3}=\frac{63}{3}$

∴ $x=21$

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