### Home > INT1 > Chapter 6 > Lesson 6.1.3 > Problem6-25

6-25.

As Sally and George practice for the SAT, their scores on practice tests rise. Sally’s current score is $850$, and it is rising by $10$ points per week. On the other hand, George’s current score is $570$ and is growing by $50$ points per week.

1. When will George’s score catch up to Sally’s?

Sally's score will be defined by the expression $850+10x$, since her initial score was $850$ and it increases by $10$ points each week.

George's score, on the other hand, will be defined by the expression $570+50x$, since his initial score was $570$ and it increases by $50$ each week.

$850+10x=570+50x$

$x=7$

2. If the SAT test is in $12$ weeks, who will score highest?

Insert $12$ for $x$ in the equation found in part (a) to see who will have the higher score.