Okay, here are the step-by-step workings:
* We are given that the total points scored is 900, and Lisa scored 400 more points than Katie.
* So we can represent this with the following equations:
l + k = 900 (total points is 900)
l = k + 400 (Lisa scored 400 more than Katie)
Where l = points Lisa scored and k = points Katie scored
* Plugging l = k + 400 into the first equation:
k + (k + 400) = 900
2k + 400 = 900
2k = 500
k = 250
* Since Lisa scored 400 more, l = k + 400
So, l = 250 + 400
l = 650
* Therefore, the answers are:
Katie scored 250 points
Lisa scored 650 points
The closest option is:
Katie = 250 and Lisa = 650