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 + ) =

3 answers

First, we need to find out how many clementines Sal and Joe brought and then determine how many bags Trisha brought.

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

    • Each bag contains 12 clementines.
    • Sal brought 4 bags, so he delivered:
      \( 4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines} \).
    • Joe brought 6 bags, therefore he provided:
      \( 6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines} \).
  2. Calculate the total number of clementines brought by Sal and Joe:

    • Total from Sal and Joe:
      \( 48 + 72 = 120 \text{ clementines} \).
  3. Determine how many clementines Trisha brought:

    • The total number of clementines is 180, so the number of clementines that Trisha brought is:
      \( 180 - 120 = 60 \text{ clementines} \).
  4. Set up the equation for the number of bags Trisha brought:

    • Let \( t \) be the number of bags Trisha brought. Then: \( 12t = 60 \).

Finally, putting it all together, we write the equation as:
\( t + 10 = 15 \) or equivalently \( 12t = 60 \).

Thus, the equation is:
\( t = 5 \), which means Trisha brought 5 bags of clementines.

write an equation

To express the situation with an equation, we can define the variable \( t \) as the number of bags Trisha brought.

Given:

  • Sal brought 4 bags, which equals \( 4 \times 12 = 48 \) clementines.
  • Joe brought 6 bags, which equals \( 6 \times 12 = 72 \) clementines.
  • The total number of clementines is 180.

The equation to determine how many bags Trisha brought can be set up as follows:

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

Where:

  • \( 48 \) is the number of clementines from Sal,
  • \( 72 \) is the number of clementines from Joe,
  • \( 12t \) is the number of clementines from Trisha.

Now, simplifying the equation gives:

\[ 120 + 12t = 180 \]

So, the equation to determine how many bags Trisha brought is:

\[ 12t = 180 - 120 \]

Or simply:

\[ 12t = 60 \]