Bags of clementines have 12 each. For a party,Sal, Trisha, and Joe each brought bags of clementines. Altogether, there were 180 clementines. Salt brought 4 bags and Joe brought 6. Write the equation to determine how many bags Trisha brought ?

______(t +_____)=_____

1 answer

To determine how many bags of clementines Trisha brought, we will first set up the equation based on the information provided.

Let \( t \) represent the number of bags Trisha brought.

  1. Sal brought 4 bags of clementines. Since each bag has 12 clementines, the total number of clementines from Sal is: \[ 4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines} \]

  2. Joe brought 6 bags of clementines, which means he contributed: \[ 6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines} \]

  3. The total number of clementines from Sal and Joe combined is: \[ 48 + 72 = 120 \text{ clementines} \]

  4. The total number of clementines brought to the party was 180. Therefore, the number of clementines brought by Trisha is: \[ 180 - 120 = 60 \text{ clementines} \]

  5. Since each bag has 12 clementines, the number of bags Trisha brought is: \[ \frac{60}{12} = 5 \text{ bags} \]

Thus, the equation to determine how many bags Trisha brought can be written as:

\[ (t + 10) = 15 \]

where \( t \) (the number of bags Trisha brought) is 5. So the full equation about bags becomes:

\[ 4 + t + 6 = 15 \]

Therefore, you can fill in the blanks as follows:

\[ (t + 10) = 15 \]

In the context of your request:

\[ \underline{t} + 10 = 15 \]