https://file.aiquickdraw.com/mathbot/file/1727393531151xwqv6fi3.jpg

Let's analyze the problems in the image.

### First Problem (Birgit's Class):
Birgit's class aims to collect 750 cans. They've already collected 459 cans in the first month and 216 cans in the next month. 

- **Total collected**: \( 459 + 216 = 675 \) cans.
- **Remaining cans to collect**: \( 750 - 675 = 75 \) cans.

So, an expression that models the number of cans remaining to collect is:
\[
750 - (459 + 216)
\]

This simplifies to:
\[
750 - 675 = 75
\]

### Second Problem (Frederick's Class):
Frederick's class has the following expression for the number of cans remaining:
\[
675 - (325 + 190)
\]

- **First step**: Add \( 325 + 190 = 515 \).
- **Second step**: Subtract \( 515 \) from \( 675 \): 
\[
675 - 515 = 160
\]

So, Frederick’s class has 160 cans left to collect.

Now, let's focus on what the dropdowns might be for Frederick's class. They seem to suggest a sequence of steps. A possible series of events might be:
1. The total goal is 675 cans.
2. Frederick's class has collected 325 cans in one month.
3. They collected 190 cans in another month.

This would explain the expression \( 675 - (325 + 190) \), leaving 160 cans to be collected.

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Let me know if you need any more details! Here are 5 related questions:

1. What would happen if Birgit’s class collected 500 cans in the first month?
2. How could Frederick’s class reduce their remaining cans faster?
3. What if the total goal for Frederick’s class changed to 800 cans?
4. How would the expression change if Birgit’s class collected fewer cans in the second month?
5. What if Frederick’s class collected more than 515 cans in total?

### Tip:
When solving expressions like these, always follow the order of operations (parentheses, then addition/subtraction).

Birgit's class is collecting cans for recycling. Their goal is to collect 750 cans. The first month, they collect 459 cans. The next month, they collect 216 cans. An expression that models the number of cans remaining to collect is ____. Frederick's class is also collecting cans. The number of cans they still have to collect equals 675 - (325 + 190). A possible series of events that led to these remaining cans is ____.

Learn how to model and solve problems related to remaining cans after certain amounts are collected each month. This example covers expressions such as 750 - (459 + 216) and 675 - (325 + 190), demonstrating algebraic simplification. Suitable for students in Grades 6-8.

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