A municipal trash facility allows a person to throw away a maximum of 35 pounds of trash per week. Last week, 200 people threw away the maximum allowable trash. How many tons of trash did this equal?


To solve this problem, we need to calculate the total amount of trash in pounds and then convert it to tons.

### Step-by-Step Solution

1. **Calculate the total amount of trash in pounds:**

   Each person is allowed to throw away a maximum of 35 pounds of trash per week. Given that 200 people threw away the maximum amount, we can find the total pounds of trash by multiplying:

   \[
   \text{Total trash in pounds} = 35 \, \text{pounds/person} \times 200 \, \text{people}
   \]

   \[
   \text{Total trash in pounds} = 7000 \, \text{pounds}
   \]

2. **Convert pounds to tons:**

   There are 2,000 pounds in a ton. To convert 7,000 pounds to tons, divide by 2,000:

   \[
   \text{Total trash in tons} = \frac{7000 \, \text{pounds}}{2000 \, \text{pounds/ton}}
   \]

   \[
   \text{Total trash in tons} = 3.5 \, \text{tons}
   \]

### Conclusion

The total amount of trash thrown away last week was **3.5 tons**.

Would you like more details or have any questions?

Here are some related questions to explore further:
1. How much trash would 300 people throw away at the maximum rate in tons?
2. If the facility increased the maximum allowable trash to 50 pounds per week, how many tons would 200 people throw away?
3. How many people would be needed to reach a total of 10 tons of trash, given the 35 pounds per person limit?
4. What is the weekly trash capacity for 500 people at this facility?
5. How many weeks would it take for 200 people to throw away a total of 10 tons?

**Tip:** When converting units, always ensure to use consistent measurements to avoid errors.

A municipal trash facility allows a person to throw away a maximum of 35 pounds of trash per week. Last week, 200 people threw away the maximum allowable trash. How many tons of trash did this equal?

Learn how to calculate the total tons of trash thrown away by 200 people at a municipal facility, given a maximum limit of 35 pounds per person per week. This problem involves unit conversion and basic multiplication, suitable for students in Grades 4-6.

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