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Sam used 6 loaves of elf bread on an 8 day hiking trip. He wants to know how many loaves of elf bread (b) he should pack for a 12 day hiking trip if he eats the same amount of bread each day.
How many loaves of elf bread should Sam pack for a 12 day trip?
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Sam used 66 loaves of elf bread on an 88 day hiking trip. He wants to know how many loaves of elf bread (b) he should pack for a 1212 day hiking trip if he eats the same amount of bread each day.\newlineHow many loaves of elf bread should Sam pack for a 1212 day trip?\newlineloaves

Full solution

Q. Sam used 66 loaves of elf bread on an 88 day hiking trip. He wants to know how many loaves of elf bread (b) he should pack for a 1212 day hiking trip if he eats the same amount of bread each day.\newlineHow many loaves of elf bread should Sam pack for a 1212 day trip?\newlineloaves
  1. Determine Consumption Rate: First, we need to determine the rate at which Sam consumes elf bread per day during his hiking trip.
  2. Calculate Daily Consumption: Sam used 66 loaves of elf bread over an 88-day period. To find out how much bread he eats per day, we divide the total loaves by the number of days.\newlineCalculation: 6 loaves8 days=0.75\frac{6 \text{ loaves}}{8 \text{ days}} = 0.75 loaves per day.
  3. Calculate Total Loaves Needed: Now that we know Sam eats 0.750.75 loaves of elf bread per day, we can calculate how many loaves he will need for a 1212-day trip by multiplying the daily consumption rate by the number of days in the trip.\newlineCalculation: 0.75 loaves/day×12 days=9 loaves.0.75 \text{ loaves/day} \times 12 \text{ days} = 9 \text{ loaves}.

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