Four friends are ordering pizza. Each friend wants four slices of pizza and they want six additional pieces for later. If they are ordering 22 slices of pizza, how many slices of pizza does each friend get.

Question

Choose the correct equation to solve the problem and the correct answer. (4 point)
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4 points
6x + 4 = 22 and x = 3 pieces of pizza per friend
4x + 6 = 22 and x = 4 pieces of pizza per friend
4x + 6 = 22 and x = 7 pieces of pizza per friend

Answer 1

To solve the problem, let's break it down and form an equation.

1. Each of the four friends wants four slices of pizza, so that's \(4 \times 4 = 16\) slices for the friends.
2. They also want six additional slices for later.
3. The total amount of pizza they need is 16 (for the friends) + 6 (for later) = 22 slices of pizza.

Now, if we let \(x\) represent the number of pieces of pizza each friend gets, we can set up the following equation based on the information given:

We know: \[ 4x + 6 = 22 \]

Now, we'll solve for \(x\):

1. Subtract 6 from both sides: \[ 4x = 22 - 6 \] \[ 4x = 16 \]
2. Divide both sides by 4: \[ x = \frac{16}{4} \] \[ x = 4 \]

So, each friend gets 4 pieces of pizza.

Given the choices provided:

1. \(6x + 4 = 22\) and \(x = 3\) pieces of pizza per friend (not correct)
2. \(4x + 6 = 22\) and \(x = 4\) pieces of pizza per friend (correct)
3. \(4x + 6 = 22\) and \(x = 7\) pieces of pizza per friend (not correct)

The correct equation is \(4x + 6 = 22\) and the correct answer is \(x = 4\) pieces of pizza per friend.