Question

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 + ) =

Answer 1

write an equation

Answer 2

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.

Answer 3

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:

\[
12t = 60
\]