To solve for the number of bags of clementines Trisha brought (denoted as \( t \)), we first calculate how many clementines Sal and Joe brought.
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Clementines from Sal:
Sal brought 4 bags of clementines, and since each bag contains 12 clementines: \[ \text{Clementines from Sal} = 4 \times 12 = 48 \] -
Clementines from Joe:
Joe brought 6 bags of clementines, therefore: \[ \text{Clementines from Joe} = 6 \times 12 = 72 \] -
Total clementines from Sal and Joe: \[ \text{Total from Sal and Joe} = 48 + 72 = 120 \]
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Total clementines at the party:
The total number of clementines is 180. Therefore, the number of clementines brought by Trisha is: \[ \text{Clementines from Trisha} = 180 - 120 = 60 \] -
Finding bags of clementines Trisha brought:
Since each bag contains 12 clementines, we can find the number of bags \( t \) that Trisha brought: \[ 12t = 60 \] Dividing both sides by 12 gives: \[ t = 5 \]
Now we can write the equation to express the total number of bags:
The equation that describes the scenario is: \[ (t + 4 + 6) = 15 \] which conveys that total bags (Trisha's bags + Sal's bags + Joe's bags) equal to the total number of bags brought.
So, the final answer for the equation to determine how many bags Trisha brought is: \[ (t + 10) = 15 \]