Question

Lisa and Kate are playing a card game, and a total of 900 points has been scored. Lisa scored 250 more points than Kate. If you let l=l=the number of points that Lisa scored, and k=k= the number of points that Kate scored, then the problem can be represented by the system:

l+k=900l+k=900 and l=k+250l=k+250

Graph the system. How many points did each of them score?

Select one:
a. Kate = 575 and Lisa = 325
b. Kate = 250 and Lisa = 650
c. Kate = 450 and Lisa = 450
d. Kate = 325 and Lisa = 575

Answer 1

d. Kate = 325 and Lisa = 575

because it says that LIsa has scored 250 points more.

Answer 2

Lisa score 575 points and Kate scored 325 points.

Explanation:

We are given the following information:

Total score for Lisa and Kate is 900 and Lisa scored 250 more points than Kate.

Scores for Lisa and Kate can be expressed with the help of two equations:

`L + K = 900\\L = K + 250 \Rightarrow L-K = 250`

Solving these equations we have:

`L + K + L - K = 900 + 250\\2L = 1150\\L = 575\\K = 575 - 250 = 325`

Hence, Lisa score 575 points and Kate scored 325 points.

The graph of the equations is attached.