Lisa and Katie are playing a card game, and a total of 900
points has been scored. Lisa scored 150 more points than Katie. If you let l= the number of points that Lisa scored, and k= the number of points that Katie scored, then the problem can be represented by the system: l+k=900 and l=k+150
graph the system. How many points did each of them score?
a. katie=150 and Lisa=750
b. katie=525 and lisa=375
c. katie=375 and lisa=525
d. katie=325 and lisa=575
To solve this system of equations, we need to use substitution or elimination method.
Given:
l + k = 900
l = k + 150
Substitute the second equation into the first equation:
(k + 150) + k = 900
2k + 150 = 900
2k = 750
k = 375
Now that we have found the value of k, we can substitute it back into the second equation to find l:
l = 375 + 150
l = 525
So, Katie scored 375 points and Lisa scored 525 points.
Answer: c. Katie scored 375 points and Lisa scored 525 points