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In NBA a basketball team's players were successful on 50% of their two-point shots and 40% of their three-point shots, which resulted in 54 points. They attempted 50% more two-point shots than three-point shots. How many three-point shots did they attempt?
The answer is 20.
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x = 2 pt shots attempted ===> 2x = value of 2pt shots made
y = 3 pt shots attempted ===> 3y = value of 3pt shots made
0.5 (2x) + 0.4(3y) = 54 pts ===> x + 1.2y = 54
But x = 1.5 y so 1.5y + 1.2 y = 54 ===> 2.7 y = 45 ===> y = 20