https://file.aiquickdraw.com/mathbot/file/1725902066724vth6282a.jpg

Let's break down the problem.

Huang buys:
- 3 shirts, where each shirt costs the same amount, denoted by $ x $.
- A pair of pants costing $12.
- He pays with a $100 bill.

We need to calculate the total cost and subtract it from $100 to find the amount of change Huang should receive. 

### Step 1: Total cost
- The total cost of the shirts is $ 3x $ (since there are 3 shirts, each costing $ x $).
- The cost of the pants is $12.

Thus, the total cost is:
\[
3x + 12
\]

### Step 2: Change
Huang paid $100, so the amount of change he should receive is:
\[
100 - (3x + 12)
\]

Now, we will match this with the available options.

### Analysis of the options:
1. $ 100 - (12(3x)) $: This expression is incorrect because it multiplies 12 with 3x, which doesn't match the problem.
2. $ 100 - (3x + 12) $: This is correct because it matches our expression $ 100 - (3x + 12) $.
3. $ (100 - 12) - 3x $: This simplifies to $ 100 - 12 - 3x = 88 - 3x $, which is another correct way to express the change.
4. $ (100 - 12)(x + x + x) $: This is incorrect because it suggests multiplying the remaining amount after subtracting the pants cost with the sum of the shirt costs.
5. $ 100 - (x + x + x) - 12 $: This is correct because $ x + x + x = 3x $, and subtracting the pants cost separately also gives $ 100 - 3x - 12 $, which is another valid expression for the change.

### Conclusion:
The correct expressions are:
- $ 100 - (3x + 12) $
- $ (100 - 12) - 3x $
- $ 100 - (x + x + x) - 12 $

Let me know if you'd like further clarification or a detailed explanation of any steps!

Here are five related questions you can try:
1. How would the expression change if Huang bought 4 shirts instead of 3?
2. What would be the total cost if each shirt costs $15?
3. How much change does Huang get if each shirt costs $20?
4. Can the expression $ (100 - 12) - 3x $ be simplified further?
5. How does the structure of the expression help in solving similar problems?

**Tip:** When dealing with word problems, always identify the total cost and how it’s structured to represent it algebraically.

Huang buys 3 shirts that each cost the same amount, a pair of pants that cost $12, and he pays with a $100 bill. Which expression represents the amount of change Huang should receive? Select three options.

Solve a word problem where Huang buys 3 shirts and a pair of pants, and you calculate how much change he should receive from $100. The problem involves basic algebraic expressions and arithmetic operations, ideal for Grades 6-8.

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