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

Miles, Lucinda skied on Saturday = 42

Miles, Lucinda skied on Sunday = 21

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.

`(3x)/(3)=(63)/(3)`

∴
`x=21`

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