Katie scored 375 points, and Lisa scored 525 points. So the correct answer is:
Katie = 375 and Lisa = 525
To solve this problem, we need to set up a system of equations based on the information given. Let's use the variables "k" for Katie's score and "l" for Lisa's score.
From the problem, we know that the total number of points scored is 900. So, our first equation is:
k + l = 900
We are also told that Lisa scored 150 more points than Katie. This can be written as:
l = k + 150
Now, let's graph this system of equations to find the solution. We can solve the system by substituting the second equation into the first equation:
k + (k + 150) = 900
2k + 150 = 900
2k = 900 - 150
2k = 750
k = 750 / 2
k = 375
Now that we have the value of k, we can substitute it back into one of the original equations to find l:
l = 375 + 150
l = 525
Therefore, Katie scored 375 points, and Lisa scored 525 points. So the correct answer is:
Katie = 375 and Lisa = 525