To determine the number of bags Trisha brought, we can set up an equation based on the information provided:
- Each bag contains 12 clementines.
- 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 \( t \).
- 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.