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Sandy Brondello scored 24 points in a recent basketball game without making any 3-point
shots. She scored 16 times, making several free throws worth 1 point each and several field
goals worth two points each. How many free throws did she make? How many 2-point
field goals did she make?
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Let T be the number of 2-point field goals;
then the number of the 1-point throws is (16-T).
Write the total score equation
(16-T) + 2T = 24.
From the equation, find T
16 - T + 2T = 24
T = 24 - 16 = 8.
ANSWER. 8 2-point shots and 24-16 = 8 free throws.
Solved.