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

Question

? (t+ ?) =?

Answer 1

Let's first determine the total number of clementines that Sal and Joe brought.

1. Calculate the number of clementines from Sal and Joe:

   • Sal brought 4 bags of clementines: \[ 4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines} \]
   • Joe brought 6 bags of clementines: \[ 6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines} \]

2. Total clementines from Sal and Joe: \[ 48 + 72 = 120 \text{ clementines} \]

3. Determine how many clementines were brought by Trisha:

   • The total number of clementines is 180, so the number of clementines that Trisha brought is: \[ 180 - 120 = 60 \text{ clementines} \]

4. Determine how many bags of clementines Trisha brought:

   • Let \( t \) be the number of bags Trisha brought. Since each bag contains 12 clementines, we have: \[ 12t = 60 \] Solving for \( t \): \[ t = \frac{60}{12} = 5 \]

5. Write the equation: The equation to determine how many bags Trisha brought can be expressed as: \[ t + 10 = 15 \] Here, \( 10 \) represents the total number of bags brought by Sal and Joe (4 + 6), and \( 15 \) represents the total number of bags calculated from \( 180 \div 12\).

So, the complete equation is: \[ t + 10 = 15 \]

This indicates that Trisha brought 5 bags of clementines.