Raul and his friends, each of whom weighs

of a ton, are standing on a truck scale. The total weight shown by the scale is
of a ton. The same truck scale is also used to weigh various other objects and animals. Raul can use his understanding of division with fractions to find the weights and numbers of items on the scale.

This table shows the weights of various groups of people, animals, and objects. In some cases, the number of items on the scale is missing and in others, the weight of each item in the group is missing. Throughout this activity, you will use the information in the table to calculate the missing values.
Part A
How can you find the total number of people on the scale when Raul and his friends are weighed?

Part B
How many people were weighed on the scale?

Part C
How many baby elephants were weighed?

Part D
Which group weighed the most per item on the scale? How much did it weigh?
Part E
Which group weighed the least per item on the scale? How much did it weigh?

Part F
Now that you’ve calculated all the missing values, complete the table.

Self-Evaluation
How did you do? Rate your work on a scale of 1 to 5, with 5 as the highest score. Then write a brief evaluation of your work below. Note what you learned and what challenged you.

Space used (includes formatting): 0 / 30000

1 answer

To solve the problem, let’s go through each part step by step, assuming we are working with the information provided in the table that you referenced (though you didn’t specify exact values). Let’s proceed with the following logic.

Part A: Finding the total number of people on the scale when Raul and his friends are weighed.

To find the total number of people, we divide the total weight shown on the scale by the weight of each person. If the total weight is \( W \) tons and the weight of each person is \( P \) tons, the formula is:

\[ \text{Number of people} = \frac{W}{P} \]

Part B: How many people were weighed on the scale?

Insert the weight totals and individual weights into the equation from Part A. For example, if Raul and his friends together weigh 3 tons and each of them weighs 0.2 tons, then:

\[ \text{Number of people} = \frac{3 \text{ tons}}{0.2 \text{ tons}} = 15 \]

So, there were 15 people.

Part C: How many baby elephants were weighed?

If you know the total weight of the baby elephants and the weight per baby elephant, use the same method as above. If the total weight of the baby elephants is \( B \) tons and each baby elephant weighs \( E \) tons, then:

\[ \text{Number of baby elephants} = \frac{B}{E} \]

Part D: Which group weighed the most per item on the scale? How much did it weigh?

To determine which group weighed the most per item, you would take the weight per item of each group and compare them:

\[ \text{Weight per item for a group} = \frac{\text{Total weight of group}}{\text{Number of items in group}} \]

For each group, calculate this ratio and find the maximum value.

Part E: Which group weighed the least per item on the scale? How much did it weigh?

Similar to Part D, calculate the weight per item for each group and find the minimum value of the ratios.

Part F: Complete the table.

You would fill in the table with the calculated values from Parts B, C, D, and E. Be sure to include the total number of each group along with their individual weights.


Self-Evaluation: Rate from 1 to 5 based on clarity, completeness, and accuracy.

  • Rate: ___ /5
  • Evaluation:
    • I found the parts where I had to calculate the number of items challenging but learned that using basic division with fractions helps clarify the necessary values. Completing the table helped reinforce my understanding, and I learned how to contribute individual weights to total weight calculations effectively.

Note: Please replace placeholders with actual numbers from your table wherever applicable, and clarify each group’s corresponding weights and total counts, if they were included.

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