Amari went to the mall and spent

. He bought one shirt for
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 help you solve the problem, let's break it down into two parts as specified.

PART A

Let's define the variables based on the information provided:

  • Let \( y \) be the cost of each pair of socks.
  • Let \( x \) be the cost of the shirt.
  • Let \( T \) be the total amount of money Amari spent.

According to the information given, Amari bought one shirt and three pairs of socks. The total cost can be represented by the following equation:

\[ T = x + 3y \]

This equation states that the total amount spent (\( T \)) is equal to the cost of the shirt (\( x \)) plus three times the cost of each pair of socks (\( 3y \)).

PART B

To determine how much each pair of socks costs, we need more specific values for \( T \) (the total amount spent) and \( x \) (the cost of the shirt). If you have those values, you can use the equation from Part A to solve for \( y \):

  1. Rearrange the equation:

\[ 3y = T - x \]

  1. Then divide both sides by 3 to solve for \( y \):

\[ y = \frac{T - x}{3} \]

Please provide the values for \( T \) and \( x \) so we can calculate the cost of each pair of socks.