Before starting a steep mountain climb, Emek, Luna, and Nova checked their water supply. They had 12.5 liters and would pass four rest stops before reaching the next spring. Their trail guide recommended using 0.85 liter of water per person at each stop. Luna calculated that the three climbers would need 2.55 liters at one stop. Emek then multiplied 2.55 by 4 and found that they would need 10.2 liters before reaching the spring. Nova subtracted this amount from their supply: 12.5 - 10.2 = 2.3 liters. Since some water would remain after all four stops, the group knew their supply was sufficient. They packed the containers carefully and began the climb, confident that their plan would carry them safely to the spring.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Think about how many people need water at each stop and how many stops there are.
The guide recommends 0.85 liter of water per person at each stop. Which expression correctly finds how much water the three climbers need for all four stops?
0.85 + 3 + 40.85 * 3 * 40.85 * 40.85 * 3 + 4Correct! Multiplying 0.85 by 3 people and then by 4 stops gives the total water needed.
Not quite. The calculation must account for both the three climbers and the four stops.
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Hint
Find how much water is needed for 4 stops, then check whether there is enough for one more complete stop.
The group has 12.5 liters of water. They need 2.55 liters at each stop. What is the greatest whole number of complete stops for which their water supply is sufficient?
Correct! They have enough water for 4 complete stops but not for 5.
Try again. Compare the water needed for 4 stops and 5 stops with the 12.5-liter supply.
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Hint
First find the water needed by all three climbers at the extra stop, then compare it with 2.3 liters.
After four stops, the group has 2.3 liters left. Suppose the spring is unexpectedly closed and they must reach one more rest stop. At that stop, each of the three climbers would again need 0.85 liter. Which statement is correct?
They have enough because 2.3 liters is more than 0.85 liter.They have enough because the three climbers need only 1.70 liters altogether.They do not have enough because the three climbers need 2.55 liters, which is 0.25 liter more than they have.They do not have enough because the three climbers need 3.40 liters, which is 1.10 liters more than they have.Correct! They need 2.55 liters but have only 2.3 liters, so they are short by 0.25 liter.
Not quite. Remember that all three climbers need 0.85 liter each at the extra stop.
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