On Friday, there were x students at the baseball game. On Monday, there were half as many students at the game as there were on Friday. On Wednesday, there were 32 fewer students at the game as there were on Friday. Which expression could represent the total number of tickets sold for all 3 games?
2 1/2-32
2 1/2 x + 32
3 1/2 x-32
3 1/2 x + 32
Answers
Question :- On Friday, there were x students at the baseball game. On Monday, there were half as many students at the game as there were on Friday. On Wednesday, there were 32 fewer students at the game as there were on Friday. Which expression could represent the total number of tickets sold for all 3 games ?
a) 2 1/2x-32
b) 2 1/2x+32
c) 3 1/2x-32
d) 3 1/2x+32
Solution :-
we have ,
→ Total students at the baseball game on friday were = x students .
now, given that,
→ On monday, students at the baseball game = Half of students on friday = Half of x = (x/2) students .
and,
→ On wednesday, students at the baseball game = 32 fewer than students on friday = (x - 32) students .
therefore,
→ Total number of students on friday , monday and wednesday were = x + (x/2) + (x - 32) = (x + x/2 + x) - 32 = (2x + x/2) - 32 = {(4x + x)/2} - 32 = (5x/2) - 32 = 2(1/2)x - 32 (Ans.) (Option a) .
Hence, the total number of tickets sold for all 3 games were {2(1/2)x - 32} .
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Answer:
A. 2 1/2 x - 32
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