Solve for X: Finding Flowers in 5(x+3) = 23+x Equation

Hector buys 5 bouquets of flowers each containing x+3 x+3 flowers.

In total he has 23+x 23+x flowers.

How many flowers does each bouquets contain?

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Step-by-step written solution

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1

Understand the problem

Hector buys 5 bouquets of flowers each containing x+3 x+3 flowers.

In total he has 23+x 23+x flowers.

How many flowers does each bouquets contain?

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Set up the equation based on the problem data.
  • Step 2: Solve for x x using the equation.
  • Step 3: Calculate the number of flowers in each bouquet.

Let's work through each step:

Step 1: Set up the equation based on the information given.
According to the problem, Hector has a total of 23+x 23+x flowers, calculated as 5×(x+3) 5 \times (x+3) flowers from the bouquets.
Thus, we set up the equation:

5(x+3)=23+x 5(x + 3) = 23 + x

Step 2: Solve for x x :

5x+15=23+x 5x + 15 = 23 + x

Subtract x x from both sides:

4x+15=23 4x + 15 = 23

Subtract 15 from both sides:

4x=8 4x = 8

Divide both sides by 4:

x=2 x = 2

Step 3: Find the number of flowers in each bouquet:

Each bouquet contains x+3 x + 3 flowers.

x+3=2+3=5 x + 3 = 2 + 3 = 5

Therefore, each bouquet contains 5 flowers.

3

Final Answer

5

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Solve for x:

\( 2(4-x)=8 \)

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