Question
Kate's Cupcakes sells cupcakes in boxes of 4. Depending on the type of cupcake, a box can cost at most $20.
4x>20 4x<20
Let x represent how much each cupcake costs. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
4x>20 4x<20
Let x represent how much each cupcake costs. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Answers
GPT-4o mini
To analyze the problem, we can start with the inequality involving the box of cupcakes.
Given that a box of 4 cupcakes costs at most $20, the inequality can be formulated as follows:
\[ 4x \leq 20 \]
Next, let's solve for \( x \):
1. Divide both sides of the inequality by 4:
\[
x \leq \frac{20}{4}
\]
2. Simplify:
\[
x \leq 5
\]
This means each cupcake can cost at most $5.
Now, to complete the sentence based on the solution:
"The cost of each cupcake must be no more than $5."
Given that a box of 4 cupcakes costs at most $20, the inequality can be formulated as follows:
\[ 4x \leq 20 \]
Next, let's solve for \( x \):
1. Divide both sides of the inequality by 4:
\[
x \leq \frac{20}{4}
\]
2. Simplify:
\[
x \leq 5
\]
This means each cupcake can cost at most $5.
Now, to complete the sentence based on the solution:
"The cost of each cupcake must be no more than $5."