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

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.(2 points)...

Answer 1

To solve this problem, we need to establish the total number of clementines each person brought in terms of bags.

1. Determine the number of clementines brought by Sal and Joe:

   • Sal brought 4 bags of clementines. Since each bag has 12 clementines: \[ \text{Clementines from Sal} = 4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines} \]
   • Joe brought 6 bags of clementines. Therefore: \[ \text{Clementines from Joe} = 6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines} \]

2. Set up the equation:

   • Let \( t \) be the number of bags Trisha brought. The total number of clementines that Trisha brought then is: \[ \text{Clementines from Trisha} = t \text{ bags} \times 12 \text{ clementines/bag} = 12t \text{ clementines} \]

3. Write the equation for the total number of clementines:

   • The total number of clementines they all brought is given as 180: \[ 48 + 72 + 12t = 180 \]

Thus, the equation to determine how many bags Trisha brought is: \[ 48 + 72 + 12t = 180 \]