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)

Question

__(t+__) =)____ 

Answer 1

To find out how many bags of clementines Trisha brought, we can first establish the total number of clementines brought by Sal and Joe and then set up an equation with the number of bags Trisha brought.

Each bag contains 12 clementines.

1. Calculate the number of clementines brought by Sal:

   • Sal brought 4 bags, so the number of clementines he brought is: \( 4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines} \)

2. Calculate the number of clementines brought by Joe:

   • Joe brought 6 bags, so the number of clementines he brought is: \( 6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines} \)

3. Calculate the total number of clementines brought by Sal and Joe: \( 48 \text{ (Sal)} + 72 \text{ (Joe)} = 120 \text{ clementines} \)

4. Determine the total number of clementines brought to the party:

   • The total number of clementines is 180.

5. Determine the number of clementines brought by Trisha:

   • The number of clementines Trisha brought is: \( 180 - 120 = 60 \text{ clementines} \)

6. Convert that back into bags for Trisha: To find the number of bags (t) that Trisha brought: \[ t \text{ bags} \times 12 \text{ clementines/bag} = 60 \text{ clementines} \] This simplifies to: \[ t = \frac{60}{12} = 5 \text{ bags} \]

Now we can write the equation to determine how many bags Trisha brought, \( t \):

\[ (t + 10) = 15 \]

Thus, the equation is: \[ (t + 10) = 15 \]

This indicates Trisha brought 5 bags, since \( t = 5 \).

Answer 2

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+____) =______ 

Answer 3

To write the equation to determine how many bags Trisha brought, let's break it down step by step using the information given:

1. Determine the total number of clementines from Sal and Joe:

   • Sal brought 4 bags of clementines:
     \( 4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines} \)

   • Joe brought 6 bags of clementines:
     \( 6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines} \)

2. Calculate the total clementines brought by Sal and Joe: \[ 48 \text{ (Sal)} + 72 \text{ (Joe)} = 120 \text{ clementines} \]

3. Determine the total number of clementines at the party:

   • According to the problem, there are 180 clementines in total.

4. Determine how many clementines Trisha brought: \[ \text{Clementines by Trisha} = 180 - 120 = 60 \text{ clementines} \]

5. Convert that to bags for Trisha:

   • Let \( t \) be the number of bags Trisha brought. \[ t \text{ bags} \times 12 \text{ clementines/bag} = 60 \text{ clementines} \]
   • This can be expressed as: \[ 12t = 60 \]

Now, to write the equation in the requested format, we can rearrange it. We know \( t \) bags provide 60 clementines, so:

To find the bags Trisha brought, we simply structure it as:

\[ (t + 5) = 15 \]

Where \( t + 5 \) comes from the fact that \( 5 \) bags (Trisha's bags) and \( 10 \) (from Sal and Joe's total) equals the total clementines provided.

Thus, the final equation format you're looking for based on what has been discussed would be:

\[ (t + 10) = 15 \]

Where you could also say:

• \( (t + 10) = 180 \) if including everyone's clementines.

Therefore, the finalized form is:

\[ (t + 10) = 15 \]

Or simply:

\[ (t + 10) = 180 \]

Both reflect the combined bag scenario contextually in mathematical form.

Answer 4

Fill in the blanks

Answer 5

Sure! Based on the information provided, here's how to fill in the blanks for the equation to determine how many bags Trisha brought, \( t \):

Equation Layout: \[ (t + 10) = 15 \]

Filled in Blanks:

• First Blank: 10
• Second Blank: 15

So, the final filled-in equation would look like this: \[ (t + 10) = 180 \]

Where:

• \( t \) is the number of bags Trisha brought,
• \( 10 \) is the total bags brought by Sal and Joe combined,
• and \( 180 \) is the total number of clementines.

If you're looking for the structure based on the total number of bags:

So, it would be: \[ (t + 10) = 180 \]

If I misunderstood the original request, please clarify, and I'd be happy to help!

Answer 6

Fill in the 3 empty blanks in the equation
_____ (t+ ______ ) = ______ 

Answer 7

To write the equation to determine how many bags Trisha brought, we can use the total number of clementines and the contributions from Sal and Joe.

1. Total number of clementines: 180
2. Clementines from Sal: \( 4 \text{ bags} \times 12 \text{ clementines/bag} = 48 \text{ clementines} \)
3. Clementines from Joe: \( 6 \text{ bags} \times 12 \text{ clementines/bag} = 72 \text{ clementines} \)
4. Total clementines from Sal and Joe: \( 48 + 72 = 120 \)
5. Clementines from Trisha: \( 180 - 120 = 60 \)

Now, since Trisha brought \( t \) bags, and each bag contains 12 clementines: \[ 12t = 60 \]

To rearrange this: \[ t = \frac{60}{12} = 5 \]

Now, we can set up the equation based on the contributions:

We have: \[ (t + 10) = 180 \]

Now we can fill in the blanks:

1. First Blank (the coefficient before the parenthesis): 1
2. Second Blank (the number added to \( t \)): 10
3. Third Blank (the total number of clementines): 180

So, the final equation is: \[ 1(t + 10) = 180 \]

Filled in Blanks:

• 1 (first blank)
• 10 (second blank)
• 180 (third blank)

The complete filled equation is: \[ 1(t + 10) = 180 \]

Answer 8

Dahlia bought Granny Smith and Macintosh apples at the grocery store. The Granny Smith apples were $1.35 each if you bought 6. Find the cost of each Macintosh apple if the total cost is $15 and she bought 6 of each.(1 point)
Each Macintosh apple cost $_____

Answer 9

Let's break down the information given:

1. Cost of Granny Smith Apples:

   • Dahlia bought 6 Granny Smith apples at $1.35 each.
   • Total cost for Granny Smith apples: \[ 6 \text{ apples} \times 1.35 \text{ dollars/apple} = 8.10 \text{ dollars} \]

2. Total Cost of Apples:

   • The total cost for both Granny Smith and Macintosh apples is $15.

3. Cost of Macintosh Apples:

   • Let \( x \) be the cost of each Macintosh apple.
   • She bought 6 Macintosh apples, so the total cost for Macintosh apples is: \[ 6x \]

4. Setting up the equation:

   • The total cost equation combining both types of apples is: \[ 8.10 + 6x = 15 \]

5. Solving for \( x \): \[ 6x = 15 - 8.10 \] \[ 6x = 6.90 \] \[ x = \frac{6.90}{6} = 1.15 \]

So, each Macintosh apple costs $1.15.

Therefore, the answer is: Each Macintosh apple costs $1.15.

Answer 10

Patrick purchased some supplies for his guitar students. He bought 25 guitar picks and 25 guitar strings since they only cost $1 more than the guitar picks. He spent a total of $40. If c is the cost of one guitar pick, find the cost of one guitar string.(1 point)
$_____

Answer 11

Let's denote the cost of one guitar pick as \( c \). According to the information provided:

1. Cost of one guitar pick: \( c \)
2. Cost of one guitar string: Since guitar strings cost $1 more than guitar picks, the cost of one guitar string would be \( c + 1 \).
3. Number of guitar picks purchased: 25
4. Number of guitar strings purchased: 25
5. Total spent: $40

Now, we can set up the equation for the total cost of the purchases:

The total cost for the guitar picks is: \[ 25c \]

The total cost for the guitar strings is: \[ 25(c + 1) \]

Combining these, we get the total cost equation: \[ 25c + 25(c + 1) = 40 \]

Expanding the equation: \[ 25c + 25c + 25 = 40 \] \[ 50c + 25 = 40 \]

Now, we solve for \( c \): \[ 50c = 40 - 25 \] \[ 50c = 15 \] \[ c = \frac{15}{50} = \frac{3}{10} = 0.30 \]

Now that we have the cost of one guitar pick (\( c = 0.30 \)), we can find the cost of one guitar string: \[ \text{Cost of one guitar string} = c + 1 = 0.30 + 1 = 1.30 \]

Thus, the cost of one guitar string is: \[ \boxed{1.30} \]