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Basketball score math problem

 
 
Reply Mon 5 Apr, 2010 11:14 pm
In a basketball game, Harold and Isaac scored a total of 19 points. Isaac and Jacob scored a total of 14 points. Isaac scored as many points as Harold and Jacob together. How many points did each player score?
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Type: Question • Score: 0 • Views: 4,608 • Replies: 1
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oolongteasup
 
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Reply Tue 6 Apr, 2010 12:06 am
@Primotivo,
formulate the equations

h + i = 19
i + j = 14
i = h + j

substitute to eliminate variable and solve

eg.

h + i = 19, so h + (h + j) = 19 from substituting for i from equation 3

h + (h + 14 - i) = 19 from substituting for j from equation 2 and

h + h +14 -(19 -h) = 19 from equation 1 so simplifying 3h = 24

h = 8 , i = 11 , j = 3
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