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Questions and Answers
What is the simplified form of the ratio 12 : 8?
What is the simplified form of the ratio 12 : 8?
- 2 : 3
- 4 : 3
- 3 : 2 (correct)
- 6 : 4
What is the total number of soccer players in the league if three out of seven wore headbands and there were 36 who did not?
What is the total number of soccer players in the league if three out of seven wore headbands and there were 36 who did not?
- 72 players
- 63 players (correct)
- 54 players
- 48 players
What is the ratio of soccer players who wore headbands to those who did not, given that 3 out of 7 players wore them?
What is the ratio of soccer players who wore headbands to those who did not, given that 3 out of 7 players wore them?
- 3 : 4 (correct)
- 7 : 3
- 4 : 3
- 3 : 7
Which of the following represents the ratio of players who did not wear headbands to those who did?
Which of the following represents the ratio of players who did not wear headbands to those who did?
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How many total soccer players wore headbands if 3 players wore them and the ratio of players who wore to those who did not is 3:4?
How many total soccer players wore headbands if 3 players wore them and the ratio of players who wore to those who did not is 3:4?
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Study Notes
Simplifying Ratios
- The ratio 12:8 simplifies to 3:2, exhibiting a simplest form where both numbers share a common factor of 4.
- Ratio representations are 3:2, 3 to 2, and 3/2.
Soccer Players and Headbands
- In a soccer league, 3 out of 7 players wore headbands.
- The ratio of players wearing headbands to those not wearing them is 3:4.
- To find players not wearing headbands: 7 (total players) - 3 (wearing) = 4 (not wearing).
- If there are 36 players who did not wear headbands, the total number of players in the league is calculated as follows:
- Since the ratio of players wearing headbands to those not is 3:4, the total parts are 3 + 4 = 7.
- If 4 parts (from 3:4) equals 36 players, then each part is 36/4 = 9 players.
- Thus, total players = 7 parts × 9 players/part = 63 players in the league.
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