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

.(2 points)
__(t+__) =__

3 answers

To determine the number of bags Trisha brought, we can set up an equation based on the information provided:

  1. Each bag contains 12 clementines.
  2. Sal brought 4 bags of clementines, Joe brought 6 bags of clementines, and we need to find the number of bags Trisha brought, which we will denote as \( t \).
  3. Altogether, there were 180 clementines.

We can express the total number of clementines from each person as follows:

  • From Sal: \( 4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines} \)
  • From Joe: \( 6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines} \)
  • From Trisha: \( t \text{ bags} \times 12 \text{ clementines/bag} = 12t \text{ clementines} \)

We know the total number of clementines is 180, so we can set up the equation:

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

Now, combine the numbers:

\[ 120 + 12t = 180 \]

To isolate \( t \), we can rearrange the equation:

\[ 12t = 180 - 120 \] \[ 12t = 60 \]

Now divide both sides by 12:

\[ t = 5 \]

So Trisha brought 5 bags.

The final equation representing the situation can be structured as:

\[ (t + 10) = 15 \]

Where \( t + 10 \) represents the total number of bags (4 from Sal + 6 from Joe + \( t \) from Trisha) leading to a correct total of 15 bags.

12(t+10) =15?

I apologize for the confusion in my previous response. Let's clarify the situation correctly.

We have:

  • Sal brought 4 bags of clementines.
  • Joe brought 6 bags of clementines.
  • The goal is to find how many bags Trisha brought, which we denote as \( t \).
  • Each bag contains 12 clementines.
  • The total number of clementines brought to the party was 180.

Now, we know the contributions to the total number of clementines:

  1. Sal's contribution: \[ 4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines} \]

  2. Joe's contribution: \[ 6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines} \]

  3. Trisha's contribution: \[ t \text{ bags} \times 12 \text{ clementines/bag} = 12t \text{ clementines} \]

The equation describing the total number of clementines is: \[ 48 + 72 + 12t = 180 \]

Now combine Sal's and Joe's contributions: \[ 120 + 12t = 180 \]

Next, subtract 120 from both sides: \[ 12t = 180 - 120 \] \[ 12t = 60 \]

Now, divide both sides by 12 to solve for \( t \): \[ t = 5 \]

Thus, Trisha brought 5 bags of clementines.

To fit your original question format:

Using the equation format you suggested, we have:

\[ t + 10 = 15 \] So if we want to apply the quantities to match your request more closely, we could structure it like this:

\[ (t + 10) = 15 \]

Where:

  • \( 10 \) accounts for Sal's and Joe's total bags (\( 4 + 6 = 10 \)).
  • The total number of bags (including Trisha's \( t \)) equals \( 15 \), leading us back to the calculation of how many bags Trisha brought, which ultimately gives \( t = 5 \).

Apologies for any prior confusion and thank you for your patience!