Amari went to the mall and spent $47

. He bought one shirt for $26
and he bought 3 pairs of socks. Each pair of socks cost the same amount of money.

PART A

Write an equation that can be used to find the cost of each pair of socks. Use
to represent the cost of each pair of socks.

Type your equation:
$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$
$x\frac{ }{ }$
$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
Question 2
PART B

How much does each pair of socks cost?

The cost of a pair of socks is
$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$
$x\frac{ }{ }$
$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
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1 answer

To solve this problem, let's break it down step by step.

PART A

First, we need to set up an equation based on the information given.

Amari spent a total of $47. He bought one shirt for $26 and 3 pairs of socks, which we'll represent as \(x\) (the cost of each pair of socks).

So, the total amount spent can be represented with the following equation:

\[ 26 + 3x = 47 \]

PART B

Now, we need to find out how much each pair of socks costs by solving the equation we wrote in Part A.

  1. Start with the equation: \[ 26 + 3x = 47 \]

  2. Subtract 26 from both sides: \[ 3x = 47 - 26 \] \[ 3x = 21 \]

  3. Divide both sides by 3: \[ x = \frac{21}{3} \] \[ x = 7 \]

Thus, the cost of each pair of socks is $7.