While crossing a remote mountain trail, Emek and Tara were responsible for refilling water stations before a group of hikers arrived. The trail guide recommended 18 liters of water for every 12 expected hikers at each station. Since one checkpoint was expecting 30 hikers, they used a proportion to calculate the correct amount of water instead of guessing. After checking that the ratio remained the same, they filled every station with the proper supply. Thanks to their careful calculations, the hikers found well-stocked water stations throughout the route, and the expedition continued safely.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Set up a proportion using liters per hikers.
Using the trail guide's recommendation of 18 liters for every 12 hikers, how many liters of water are needed for 30 hikers?
36 liters40 liters45 liters48 litersCorrect! Keeping the ratio constant gives 45 liters for 30 hikers.
Use a proportion so the liters-to-hikers ratio stays the same.
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Hint
Twenty-four hikers is twice as many as 12 hikers.
Another water station expects 24 hikers. How many liters of water should Emek and Tara prepare?
Correct! The station needs 36 liters.
Keep the ratio of 18 liters for every 12 hikers.
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Hint
First find the correct amount for 30 hikers using a proportion.
A volunteer says that 42 liters of water is enough for 30 hikers. Based on the trail guide's recommendation, what should Emek and Tara conclude?
42 liters is correct because it is more than 30 liters.42 liters is not enough because the correct amount is 45 liters.42 liters is too much because only 36 liters are needed.42 liters is correct because the ratio does not matter.Correct! The proportional calculation gives 45 liters, so 42 liters is not enough.
Calculate the required amount using the given ratio before comparing it with 42 liters.
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