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Brain Twister for people who are good at math?
Lakers and Celtics played an extra long, high-scoring game of basketball. If 6 of the goals scored by Celtics were instead scored by Lakers, the game would have been tied. But if 6 of the goals scored by Lakers were instead scored by Celtics, Celtics would have 4 times as many goals as Lakers. How many goals did Lost Desert score in this game?
1 Answer
- 1 decade agoFavorite Answer
The Lakers scored 4 goals.
If you set up a system of equations where:
C = number of Celtic goals scored
L = number of Laker goals scored
C = L + 6 --------> in the tie game
C + 6 = 4L --------> in the 4x loss by the Lakers
Solve the second equation by subtracting 6 to get C = 4L-6.
Plug this value (4L-6) into the other equation to get:
4L-6 = L +6 [add 6]
4L = L +12 [subtract L]
3L = 12 [divide by 3]
L = 4 -----> so, the Lakers scored 4 goals!
If you're curious as to how many goals the Celtics scored, just plug in L's value (4) into either of the original equations:
C = L + 6
C = 4 +6
C = 10 goals
-OR-
C + 6 = 4L
C + 6 = 4(4)
C + 6 = 16 [subtract 6]
C = 10 goals
Well, those are the answers. But the Celtics and Lakers only scoring 10 and 4 points, respectively, seems awfully low for such an "extra long, high-scoring game"!