I just need some direction to get started please.... Some family friends have asked you to plan a rafting expedition. A rafting has given you specific details on how much weight a raft can hold. A raft can safely carry the weight of 24 babies. The weight of 12 babies is exactly equal to the weight of 4 teenagers;the weight of 6 teenagers is exactly equal to the weight of 3 adults. What is the least number of rafts needed for a trip with 11 adults, 5 teenagers, and 21 babies? Thank you for your help :)
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Down the babbling river
click on the first link.
Thank you so much. :)
To find the least number of rafts needed for the trip, we need to understand the weight ratios given in the question.
1. Start with the given information that 12 babies weigh the same as 4 teenagers. This means that the weight of one teenager is equal to the weight of 12 babies divided by 4, which is 3 babies.
2. From the second piece of information, we know that 6 teenagers weigh the same as 3 adults. This means that the weight of one adult is equal to the weight of 6 teenagers divided by 3, which is 2 teenagers.
3. Now, we can calculate the total weight of the adults, teenagers, and babies given in the question. We have 11 adults, 5 teenagers, and 21 babies.
Weight of adults = 11 adults × 2 teenagers = 22 teenagers
Weight of teenagers = 5 teenagers
Weight of babies = 21 babies
4. Now, let's convert the weight of teenagers and babies into the weight of a single unit that can be compared directly to the raft's weight capacity (given in terms of babies).
Weight of adults = 22 teenagers = (22 teenagers) × (3 babies/teenager) = 66 babies
Weight of teenagers = 5 teenagers
Weight of babies = 21 babies
5. To find the total weight, add up the converted weights:
Total weight = Weight of adults + Weight of teenagers + Weight of babies
= 66 babies + 5 teenagers + 21 babies
= 87 babies + 5 teenagers
6. Since the weight capacity of a single raft is 24 babies, we divide the total weight by 24 to find the number of rafts needed:
Number of rafts = Total weight / Capacity of each raft
= (87 babies + 5 teenagers) / 24
Now, you can use a calculator to compute the exact number of rafts needed.