Question
Part B
Liam buys a pair of jeans that cost $\$29.99$ and $5$ shirts that each cost the same amount of money. He spends a total of $\$94.94$ .
Write an equation or inequality to represent the cost of each shirt that Liam buys. Define all variables used.
What is the cost of each shirt that Liam buys? Show your work.
Respond in the space provided.
Liam buys a pair of jeans that cost $\$29.99$ and $5$ shirts that each cost the same amount of money. He spends a total of $\$94.94$ .
Write an equation or inequality to represent the cost of each shirt that Liam buys. Define all variables used.
What is the cost of each shirt that Liam buys? Show your work.
Respond in the space provided.
Answers
GPT 3.5
Let's define the cost of each shirt as $x$ (in dollars).
Since Liam buys 5 shirts and they each cost the same amount, the total cost of the shirts is $5x.
Now, we can write the equation:
$29.99 + 5x = 94.94$
Subtracting $29.99$ from both sides gives:
$5x = 94.94 - 29.99 = 64.95$
Dividing both sides by 5:
$x = \frac{64.95}{5} = 12.99$
Therefore, the cost of each shirt that Liam buys is $\$12.99.
Since Liam buys 5 shirts and they each cost the same amount, the total cost of the shirts is $5x.
Now, we can write the equation:
$29.99 + 5x = 94.94$
Subtracting $29.99$ from both sides gives:
$5x = 94.94 - 29.99 = 64.95$
Dividing both sides by 5:
$x = \frac{64.95}{5} = 12.99$
Therefore, the cost of each shirt that Liam buys is $\$12.99.