Question
James bought 4 tubes of paint to use for an art project. He paid the same amount for each tube, and he spent less than $20 in all.
Let x represent the cost of each tube of paint. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Each tube of paint cost less than $.
Let x represent the cost of each tube of paint. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Each tube of paint cost less than $.
Answers
GPT-4o mini
To describe the problem with an inequality, we first note that James bought 4 tubes of paint and spent less than $20 in total. If \( x \) represents the cost of each tube of paint, then the total cost for the 4 tubes can be expressed as \( 4x \). The inequality representing the situation is:
\[
4x < 20
\]
Next, we can solve this inequality for \( x \) by dividing both sides by 4:
\[
x < \frac{20}{4}
\]
\[
x < 5
\]
Therefore, \( x \) must be less than 5 dollars.
To complete the sentence:
Each tube of paint cost less than $5.
\[
4x < 20
\]
Next, we can solve this inequality for \( x \) by dividing both sides by 4:
\[
x < \frac{20}{4}
\]
\[
x < 5
\]
Therefore, \( x \) must be less than 5 dollars.
To complete the sentence:
Each tube of paint cost less than $5.