Before the championship game, Tara, Emek, and Luna studied the team's match records on a strategy board. They compared successful passes, shots, and defensive plays to understand the team's strengths. One match showed 18 successful passes, 12 shots, and 6 strong defensive plays, creating the ratio 18:12:6. They simplified and compared the relationships between the numbers to see which skills appeared most often. Their analysis showed where the team performed best and helped the coaches design a strategy that used the players' strongest abilities.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Find the greatest common factor of all three numbers and divide each part by it.
The strategy board shows the ratio 18:12:6 for successful passes, shots, and defensive plays. What is the simplified ratio?
3:2:19:6:36:4:318:6:12Correct! Dividing 18:12:6 by 6 gives the simplified ratio 3:2:1.
Check that every part of the ratio is divided by the same factor.
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Hint
First find how many total parts are in the simplified ratio.
The coaches want to create a larger version of the same strategy model. If the simplified ratio is 3:2:1 and they plan for 24 total plays using this ratio, how many successful passes should the model include?
Correct! The ratio has 6 total parts, and 24/6 = 4. The successful passes are 3*4 = 12.
Use the simplified ratio and divide the total amount into equal ratio parts.
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Hint
Simplify both three-part ratios before comparing them.
Another match had a ratio of 15 successful passes, 10 shots, and 5 defensive plays. How does this compare with the original match ratio of 18:12:6?
The new match has a different relationship because all numbers are smaller.The two matches have the same simplified ratio.The new match has more defensive plays compared with passes.The original match has a smaller passes-to-shots ratio.Correct! 15:10:5 simplifies to 3:2:1, which matches 18:12:6.
Ratios should be compared after simplifying, not by looking only at the original numbers.
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