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

12(t+10) =15?

Answer 2

To determine the number of bags Trisha brought, we can set up an equation based on the information provided:

1. Each bag contains 12 clementines.
2. Sal brought 4 bags of clementines, Joe brought 6 bags of clementines, and we need to find the number of bags Trisha brought, which we will denote as \( t \).
3. Altogether, there were 180 clementines.

We can express the total number of clementines from each person as follows:

- From Sal: \( 4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines} \)
- From Joe: \( 6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines} \)
- From Trisha: \( t \text{ bags} \times 12 \text{ clementines/bag} = 12t \text{ clementines} \)

We know the total number of clementines is 180, so we can set up the equation:

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

Now, combine the numbers:

\[
120 + 12t = 180
\]

To isolate \( t \), we can rearrange the equation:

\[
12t = 180 - 120
\]
\[
12t = 60
\]

Now divide both sides by 12:

\[
t = 5
\]

So Trisha brought 5 bags.

The final equation representing the situation can be structured as:

\[
(t + 10) = 15
\]

Where \( t + 10 \) represents the total number of bags (4 from Sal + 6 from Joe + \( t \) from Trisha) leading to a correct total of 15 bags.

Answer 3

I apologize for the confusion in my previous response. Let's clarify the situation correctly.

We have:

- Sal brought 4 bags of clementines.
- Joe brought 6 bags of clementines.
- The goal is to find how many bags Trisha brought, which we denote as \( t \).
- Each bag contains 12 clementines.
- The total number of clementines brought to the party was 180.

Now, we know the contributions to the total number of clementines:

1. **Sal's contribution**:
\[
4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines}
\]

2. **Joe's contribution**:
\[
6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines}
\]

3. **Trisha's contribution**:
\[
t \text{ bags} \times 12 \text{ clementines/bag} = 12t \text{ clementines}
\]

The equation describing the total number of clementines is:
\[
48 + 72 + 12t = 180
\]

Now combine Sal's and Joe's contributions:
\[
120 + 12t = 180
\]

Next, subtract 120 from both sides:
\[
12t = 180 - 120
\]
\[
12t = 60
\]

Now, divide both sides by 12 to solve for \( t \):
\[
t = 5
\]

Thus, Trisha brought **5 bags** of clementines.

### To fit your original question format:
Using the equation format you suggested, we have:

\[
t + 10 = 15
\]
So if we want to apply the quantities to match your request more closely, we could structure it like this:

\[
(t + 10) = 15
\]

Where:

- \( 10 \) accounts for Sal's and Joe's total bags (\( 4 + 6 = 10 \)).
- The total number of bags (including Trisha's \( t \)) equals \( 15 \), leading us back to the calculation of how many bags Trisha brought, which ultimately gives \( t = 5 \).

Apologies for any prior confusion and thank you for your patience!