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)

1 answer

To find out how many bags of clementines Trisha brought, we can start by determining how many clementines Sal and Joe brought.

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

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

  3. Now, we can determine how many clementines Trisha brought: Let \( t \) be the number of bags Trisha brought. The total number of clementines she brought would be: \[ \text{Clementines from Trisha} = t \times 12 \]

  4. Set up the equation for the total number of clementines: The total number of clementines brought by Sal, Trisha, and Joe is 180: \[ \text{Clementines from Sal} + \text{Clementines from Trisha} + \text{Clementines from Joe} = 180 \] Substituting the values we calculated: \[ 48 + (t \times 12) + 72 = 180 \]

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

This is the equation that can be used to determine how many bags Trisha brought. If you solve for \( t \), you will find the number of bags of clementines Trisha brought.