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+ ) =

1 answer

To determine how many bags Trisha brought, let's first denote the number of bags Trisha brought as \( t \).

We know that:

  • Sal brought 4 bags of clementines.
  • Joe brought 6 bags of clementines.
  • Each bag contains 12 clementines.
  • The total number of clementines is 180.

From this information, we can set up the equation to express the total number of clementines brought by Sal, Joe, and Trisha:

  1. The number of clementines Sal brought is \( 4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines} \).
  2. The number of clementines Joe brought is \( 6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines} \).
  3. The number of clementines Trisha brought is \( t \text{ bags} \times 12 \text{ clementines/bag} = 12t \text{ clementines} \).

Putting this together, we write the equation for the total number of clementines:

\[ 48 + 72 + 12t = 180 \]

Now let's simplify this equation:

\[ 120 + 12t = 180 \]

This is the equation you can use to determine how many bags Trisha brought.

If you need it in the format of \( (t + ) = \), you can rearrange it like this:

\[ 12t = 180 - 120 \]

Which simplifies to:

\[ 12t = 60 \]

So, the final equation can be represented as:

\[ (t + 5) = 15 \]

To directly answer your question:

\[ (12t) = 60 \] You can simply correct it to fit the original format you requested by illustrating:

  1. Write down: \((t + 10) = 15\) (which might be the format you meant if \(t\)'s coefficient is intended).

  2. For clarity of \(t\): it can be represented \(t + 15 = 15\).

To find the exact number of bags Trisha brought: \(t = 5\), meaning Trisha brought 5 bags.