A certain basketball team played seven games and scored an average of

Question

Tough and Tricky questions: Word Problems.

A certain basketball team played seven games and scored an average of 80 points per game. If, in the team’s first five games, it scored 75, 69, 81, 90, and 73 points, what was the average (arithmetic mean) number of points scored over the last two games?

A. 65
B. 81
C. 82
D. 86
E. Cannot be determined from the information given.

Kudos for a correct  solution .

littlewarthog · Answer

Answer D.

To calculate the missing points, we can sum the difference from the average of 80:
(75-80) + (69-80) + (81-80) + (90-80) + (73-80) = -5 - 11 + 1 + 10 - 7 = -12

Therefore, the team needs to "catch up" 12 points to the average and the answer must be 86.

g106 · Answer

Total points scored = 7*80 = 560
Points scored in first 5 games = 75+69+81+90+73 = 388
Points scored in last two games = 560 - 388 = 172
Average = 172/2 = 86

Ans D

PareshGmat · Answer

Answer = D. 86

Score of remaining 2 teams = 80*7 - (75+69+81+90+73) = 172

Average  = \frac{172}{2} = 86

Azizajones20 · Answer

The first thing to recognize is that to find the average, you take the sum and divide by the number of inputs (games, in this case) you have. Here were have 7 inputs, or games. Therefore, I approach this problem by first writing the following:
(A+B+C+D+E+F+G)/7 = 80
Plug in the sum of the first 5 games (388) for (A+B+C+D+E)
 = 80 
Multiply both sides by 7
388+F+G = 560
Subtract 388 on both sides
F+G = 172
Since the answer asks for the average of the last two games, F and G, all you need to do is take 172 and divide it by 2, giving 86. This is the tricky part of thi sproblem, because if you do not read carefully you will end up trying to figure out what F and G are, and not what the average of the two is.

The answer is D.

Bunuel · Answer

OFFICIAL SOLUTION:

(D) Let’s use x to denote the total number of points scored in the last 2 games. Because the average number of points scored per game equals the sum of all points scored divided by the number of games, we can set up the following equation:
80 = (75 + 69 + 81 + 90 + 73 + x)/7
80 = (388 + x)/7
560 = 388 + x
x = 172.

The question asks for the average score over the last two games, which is:
172/2 = 86.

The correct answer is choice (D).

rhine29388 · Answer

Total points scored by the basketball team = 80 * 7 = 560 points
Total of first 5 games = 75 + 69 + 81 + 90 + 73 = 388 points
Total of points for last 2 games = 560 - 388 = 172 points
Average for last 2 games = 172 / 2 = 86 points
correct answer - D

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A certain basketball team played seven games and scored an average of

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