Brain Teasers
Hoosier Hysteria
It was an excellent basketball game, according to Coach Pasquale; the team set a record high. In the 4th quarter, they scored 1/4 of the total points which they scored in the game, less 3. In the 3rd, they scored 1/3 of their score at the end of the 3rd, less 2. In the 2nd, they scored 1/2 of their score at the end of the 2nd, less 1. Their score at the end of the 1st was 27. What was their final score?
Hint
Start at the beginning...Answer
96 PointsEXPLANATION: You know the score at the end of the first quarter is 27, so to figure the score at the end of the second, let X=score after the second quarter & (X/2 - 1) = points scored in the second quarter:
X=(X/2 - 1) + 27 (points scored in first quarter)
X=52
Let Y = score at end of third quarter & (Y/3 - 2) = point scored in third quarter:
Y=(Y/3 - 2) + 52 (score at end of second quarter)
Y=75
Let Z = score at end of fourth quarter & (Z/4 - 3) = points scored in the fourth quarter:
Z= (Z/4 - 3) + 75 (score at end of third quarter)
Z=96
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