On the morning of a multi-team sports festival, Emek and Luna organized uniforms and equipment using the ratios listed in the event handbook. One guideline required 5 practice balls for every 2 teams. When 10 teams registered, they set up a proportion to determine how many balls were needed. They also checked the ratios for uniforms and water bottles to ensure every team received the correct share. After verifying each proportion, they completed the distribution fairly, and every team was ready before the opening match.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Find the scale factor from 2 teams to 10 teams.
The handbook requires 5 practice balls for every 2 teams. A student says 10 teams need 20 balls. Which statement correctly checks the student's answer?
The student is correct because both numbers were doubled.The student is incorrect because 10 teams need 25 balls.The student is incorrect because 10 teams need 15 balls.The student is correct because 5 + 10 = 15.Correct! The number of teams is multiplied by 5, so the number of balls must also be multiplied by 5.
Use the same scale factor for both teams and practice balls.
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Hint
Ten teams is 5 times as many as 2 teams.
The handbook requires 5 practice balls for every 2 teams. How many practice balls are needed for 10 teams?
Correct! Emek and Luna need 25 practice balls.
Multiply both parts of the ratio 5 balls for 2 teams by the same number.
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Hint
Simplify the ratio 30 balls to 12 teams.
Emek checks a supply plan that gives 30 practice balls to 12 teams. Does this plan follow the handbook ratio of 5 balls for every 2 teams?
No, because 30/12 is less than 5/2.No, because 12 teams should receive 20 balls.Yes, because 5/2 and 30/12 are equivalent ratios.Yes, because 30 - 12 = 18.Correct! Dividing 30 and 12 by 6 gives the required ratio 5 to 2.
Check whether 30:12 can be simplified to 5:2.
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