Math / Algebra

Question12. Brandon has 132 petunia plants and 6 planters. He and his helpers will put $x$ plants in each planter and have none left over. Which of Brandon's three helpers, if any, correctly guessed how many plants are to be planted in each planter? Use the equation $6 x=132$ . \begin{tabular}{|l|c|} \hline Helper & Guess \\ \hline Troy & 20 plants \\ \hline Bethany & 25 plants \\ \hline Lacy & 30 plants \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. Brandon has a total of 132 petunia plants.
2. There are 6 planters available.
3. Each planter will contain $x$ plants, with none left over.
4. We need to determine if any of the guesses by the helpers is correct.

STEP 2

1. Set up the equation based on the problem statement.
2. Solve the equation for $x$ .
3. Compare the solution with each helper's guess to determine correctness.

STEP 3

Set up the equation based on the problem statement: $6x = 132$ .

STEP 4

Solve the equation $6x = 132$ for $x$ by dividing both sides by 6:
$x = \frac{132}{6}$

STEP 5

Calculate the division:
$x = 22$

STEP 6

Compare the calculated value of $x = 22$ with each helper's guess:
- Troy guessed 20 plants. - Bethany guessed 25 plants. - Lacy guessed 30 plants.
None of the guesses match the calculated value of 22 plants.
The correct number of plants per planter is $\boxed{22}$ , and none of the helpers guessed correctly.

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Studdy Solution

STEP 1

1. Brandon has a total of 132 petunia plants.
2. There are 6 planters available.
3. Each planter will contain $x$ plants, with none left over.
4. We need to determine if any of the guesses by the helpers is correct.

STEP 2

1. Set up the equation based on the problem statement.
2. Solve the equation for $x$ .
3. Compare the solution with each helper's guess to determine correctness.

STEP 3

Set up the equation based on the problem statement: $6x = 132$ .

STEP 4

Solve the equation $6x = 132$ for $x$ by dividing both sides by 6:
$x = \frac{132}{6}$

STEP 5

Calculate the division:
$x = 22$

STEP 6

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Studdy Solution

STEP 1

1. Brandon has a total of 132 petunia plants.2. There are 6 planters available.3. Each planter will contain x x x plants, with none left over.4. We need to determine if any of the guesses by the helpers is correct.

STEP 2

1. Set up the equation based on the problem statement.2. Solve the equation for x x x.3. Compare the solution with each helper's guess to determine correctness.

STEP 3

Set up the equation based on the problem statement: 6x=132 6x = 132 6x=132.

STEP 4

Solve the equation 6x=132 6x = 132 6x=132 for x x x by dividing both sides by 6:x=1326 x = \frac{132}{6} x=6132​

STEP 5

Calculate the division:x=22 x = 22 x=22

STEP 6

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Brandon has a total of 132 petunia plants.
2. There are 6 planters available.
3. Each planter will contain $x$ plants, with none left over.
4. We need to determine if any of the guesses by the helpers is correct.

1. Set up the equation based on the problem statement.
2. Solve the equation for $x$ .
3. Compare the solution with each helper's guess to determine correctness.

Set up the equation based on the problem statement: $6x = 132$ .

Solve the equation $6x = 132$ for $x$ by dividing both sides by 6:
$x = \frac{132}{6}$

Calculate the division:
$x = 22$