To find an equation that determines how many bags Trisha brought (denoted as \( t \)), we can start by calculating the number of clementines brought by Sal and Joe.
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Calculate the total number of clementines brought by Sal:
Sal brought 4 bags of clementines. Since each bag contains 12 clementines, the total from Sal is:
\[ 4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines} \] -
Calculate the total number of clementines brought by Joe:
Joe brought 6 bags of clementines. Therefore, his total is:
\[ 6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines} \] -
Calculate the total number of clementines brought by Sal and Joe:
Now, we combine the totals from Sal and Joe:
\[ 48 \text{ clementines} + 72 \text{ clementines} = 120 \text{ clementines} \] -
Calculate the total clementines that Trisha brought:
We know that the total number of clementines from all three individuals is 180. We can determine how many clementines Trisha brought by subtracting the total from Sal and Joe from the overall total:
\[ 180 \text{ clementines} - 120 \text{ clementines} = 60 \text{ clementines} \] -
Determine the number of bags Trisha brought:
Since each bag contains 12 clementines, we can find the number of bags Trisha brought:
\[ \frac{60 \text{ clementines}}{12 \text{ clementines/bag}} = 5 \text{ bags} \]
Thus, we can write the equation to represent the situation:
\[ (t + 4 + 6) = 15 \]
In terms of clementines:
\[ (12t + 48 + 72) = 180 \]
To summarize: \[ t + 10 = 15 \] (where bags from Sal and Joe have already been accounted)
This equation visualizes the number of bags Trisha brought, where \( t \) is the number of bags she contributed. However, in terms specifically referring to clementines:
\[ (12t + 120) = 180 \]