Question

Bags of clementines have 12 each. For a party, Sal, Trisha, and Joe each brought bags of clementines. Altogether, there were 180 clementines. Sal brought 4 bags and Joe brought 6. Write the equation to determine how many bags Trisha brought, t .(2 points)
(t+
) =

Answer 1

fully

Answer 2

To find the equation that represents the number of bags Trisha brought (denoted as \( t \)), we start with the information given:

1. Each bag of clementines contains 12 clementines.
2. Sal brought 4 bags.
3. Joe brought 6 bags.
4. Together they had 180 clementines.

First, we calculate the total number of clementines brought by Sal and Joe:

- **Clementines from Sal**: \( 4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines} \)
- **Clementines from Joe**: \( 6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines} \)

Next, we can express the total number of clementines brought by Trisha. If Trisha brought \( t \) bags, then the number of clementines she brought is \( 12t \).

Now, we can set up the equation for the total number of clementines:

\[
\text{Clementines from Sal} + \text{Clementines from Joe} + \text{Clementines from Trisha} = 180
\]

This becomes:

\[
48 + 72 + 12t = 180
\]

Combining the constants (48 + 72):

\[
120 + 12t = 180
\]

Thus, the equation to determine how many bags Trisha brought \( t \) can be written as:

\[
12t = 180 - 120
\]

This means we can rewrite it as:

\[
t + 10 = 15
\]

So the final equation representing the number of bags Trisha brought is:

\[
t + 10 = 15
\]

Answer 3

To set up a complete equation to determine how many bags of clementines Trisha brought, let’s go through the information and calculations step-by-step.

### Information Given:
1. Each bag of clementines contains **12 clementines**.
2. **Sal** brought **4 bags**.
3. **Joe** brought **6 bags**.
4. **Total number of clementines** brought by everyone is **180**.

### Step-by-Step Calculation:

1. Calculate how many clementines Sal brought:
\[
\text{Clementines from Sal} = \text{Number of bags} \times \text{Clementines per bag} = 4 \times 12 = 48 \text{ clementines}
\]

2. Calculate how many clementines Joe brought:
\[
\text{Clementines from Joe} = \text{Number of bags} \times \text{Clementines per bag} = 6 \times 12 = 72 \text{ clementines}
\]

3. Let \( t \) represent the number of bags Trisha brought. Therefore, the number of clementines Trisha brought is:
\[
\text{Clementines from Trisha} = t \times 12
\]

4. Now, we can write the equation for the total number of clementines:
\[
\text{Clementines from Sal} + \text{Clementines from Joe} + \text{Clementines from Trisha} = 180
\]

Substituting the values we have:
\[
48 + 72 + 12t = 180
\]

5. Combine the known clementines:
\[
120 + 12t = 180
\]

6. To isolate \( t \), subtract 120 from both sides:
\[
12t = 180 - 120
\]
\[
12t = 60
\]

7. Divide both sides by 12 to solve for \( t \):
\[
t = \frac{60}{12} = 5
\]

### Conclusion
Trisha brought **5 bags** of clementines.

### Equation Formulation
The final form of the equation representing how many bags Trisha brought can be neatly summarized as:
\[
48 + 72 + 12t = 180
\]
Where \( t \) represents the number of bags Trisha brought. In a simplified form:
\[
12t + 120 = 180
\]

Or, equivalently arranged:
\[
t + 10 = 15 \quad \text{(if you divide the whole equation by 12 and rearrange)}
\]

Thus, the detailed breakdown provides clarity on how to derive the total and isolate \( t \).