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

Question

Write the equation to determine how many bags Trisha brought, t. (2 points)

Answer 1

To determine how many bags Trisha brought, we can start by calculating how many clementines Sal and Joe brought together, and then set up an equation for Trisha's bags.

1. Clementines per bag: Each bag has 12 clementines.

2. Clementines Sal brought: Sal brought 4 bags, so he has: \[ 4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines} \]

3. Clementines Joe brought: Joe brought 6 bags, so he has: \[ 6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines} \]

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

5. Total clementines at the party: The total number of clementines is 180, so we can find out how many clementines Trisha brought: \[ 180 \text{ clementines} - 120 \text{ clementines} = 60 \text{ clementines} \]

6. Clementines Trisha brought: Let \( t \) be the number of bags Trisha brought. Therefore, Trisha's clementines can be expressed as: \[ t \text{ bags} \times 12 \text{ clementines/bag} = 60 \text{ clementines} \]

7. Equation: Thus, the equation to determine how many bags Trisha brought is: \[ 12t = 60 \]

That is the equation to solve for \( t \).