Answer:
Jon rode 17 miles and Kelly rode 31 miles.
Step-by-step explanation:
Given:
Kelly rode her bike 3 miles less than twice the number of miles Jon rode.
Together they rode 48 miles.
Now, to find the miles they each ride.
Let the number of miles Jon rode be [tex]x.[/tex]
So, the number of miles Kelly rode is [tex]2x-3.[/tex]
Together they rode = 48 miles.
Now, to get the miles they each rode:
According to question:
[tex]x+(2x+3)=48[/tex]
[tex]x+2x-3=48[/tex]
[tex]3x-3=48[/tex]
Adding both sides by 3 we get:
[tex]3x=51[/tex]
Dividing both sides by 3 we get:
[tex]x=17.[/tex]
Jon rode = 17 miles.
So, to get the miles Kelly rode we substitute the value of [tex]x[/tex]:
And Kelly rode = [tex]2x+3[/tex]
[tex]=2\times 17-3[/tex]
[tex]=34-3[/tex]
[tex]=31\ miles.[/tex]
Therefore, Jon rode 17 miles and Kelly rode 31 miles.
