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= the number of points that Lisa scored, and k= the number of points that Kate scored, then the problem can be represented by the system:
l+k=900 and l=k+250
Graph the system. How many points did each of them score?
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Let the score of Kate be x.
Then score of Lisa is" x + 250"
We know, x + (x+250) = 900
=> 2x + 250 = 900
=>2x = 900 - 250
=> therefore,x = 650/2
=> 325 scored by Kate . So, score of Kate = 325+250 =575
We can verify by adding Lisa's score and Kate's score = 575+325=900
Ans.Lisa scored 575 and Kate scored 325.
Hope it helped mate
Then score of Lisa is" x + 250"
We know, x + (x+250) = 900
=> 2x + 250 = 900
=>2x = 900 - 250
=> therefore,x = 650/2
=> 325 scored by Kate . So, score of Kate = 325+250 =575
We can verify by adding Lisa's score and Kate's score = 575+325=900
Ans.Lisa scored 575 and Kate scored 325.
Hope it helped mate
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