Question 262000
Let x=number of miles that she rode for on the first day


So on the second day, she rode x+3 miles. On the 3rd day, she rode (x+3)+3=x+6 miles. On the fourth day, she rode (x+6)+3=x+9 miles. This pattern continues.



So we have the table


<table border=1><tr><td>Day of Week:</td><td>Mon</td><td>Tues</td><td>Wed</td><td>Thurs</td><td>Fri</td><td>Sat</td><td>Sun</td></tr><tr><td>Miles Traveled</td><td>x</td><td>x+3</td><td>x+6</td><td>x+9</td><td>x+12</td><td>x+15</td><td>x+18</td></tr></table>



Now just add up the number of miles and set them equal to 126 like so:


{{{x+(x+3)+(x+6)+(x+9)+(x+12)+(x+15)+(x+18)=126}}}



From here, solve for 'x' to find the amount of miles she traveled on the first day. Use the table to find the amount of miles traveled on the last day.