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

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Answer 1

To determine how many bags of clementines Trisha brought, we can start by establishing the total number of clementines each person contributed.

1. Clementines per bag: Each bag contains 12 clementines.
2. Sal's contribution: Sal brought 4 bags, so he contributed: \[ 4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines} \]
3. Joe's contribution: Joe brought 6 bags, so he contributed: \[ 6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines} \]

Now let's denote the number of bags Trisha brought as \( t \). Therefore, Trisha contributed: \[ t \text{ bags} \times 12 \text{ clementines/bag} = 12t \text{ clementines} \]

Now we can set up the equation based on the total number of clementines: \[ \text{Total clementines} = \text{Sal's clementines} + \text{Joe's clementines} + \text{Trisha's clementines} \] Substituting the known values, we have: \[ 180 = 48 + 72 + 12t \]

Now, simplify the equation: \[ 180 = 120 + 12t \]

To isolate \( t \), subtract 120 from both sides: \[ 180 - 120 = 12t \] \[ 60 = 12t \]

Now, divide both sides by 12: \[ t = \frac{60}{12} = 5 \]

So, Trisha brought 5 bags of clementines.

Final Answer

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