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

To determine how many bags of clementines Trisha brought, we can start by calculating the total number of clementines brought by Sal and Joe.

1. Calculate the number of clementines brought by Sal:

   • Sal brought 4 bags, and each bag has 12 clementines.
   • So, Sal brought: \( 4 \times 12 = 48 \) clementines.

2. Calculate the number of clementines brought by Joe:

   • Joe brought 6 bags.
   • So, Joe brought: \( 6 \times 12 = 72 \) clementines.

3. Now, let \( t \) represent the number of bags Trisha brought. The number of clementines Trisha brought can be expressed as \( t \times 12 \).

4. Now we can write an equation to represent the total number of clementines at the party: \[ 48 + 72 + (t \times 12) = 180 \]

5. Simplifying the left-hand side, \( 48 + 72 = 120 \): \[ 120 + (t \times 12) = 180 \]

6. To isolate \( t \), we can rearrange the equation: \[ t \times 12 = 180 - 120 \] \[ t \times 12 = 60 \]

So the equation to determine how many bags Trisha brought is: \[ t \times 12 = 60. \]

To solve for \( t \), you would divide both sides by 12: \[ t = \frac{60}{12} = 5. \]

Thus, Trisha brought 5 bags of clementines.