Frank is going to an amusement park that costs $36.00 to get into. Treats, like cotton candy, caramel apples, and funnel cakes cost $4.00 each. Frank does not want to spend more than $52.00 in all. Solve for x, where x equals the number of $4.00 treats Frank can buy.

Question

4x + $36.00 ≤ $52.00
A.
x ≤
1
4
B.
x = 3
C.
x ≥ 4
D.
x ≤ 4

Answer 1

To solve for \( x \), where \( x \) equals the number of $4.00 treats Frank can buy, we start with the inequality given:

\[ 4x + 36.00 \leq 52.00 \]

First, we can subtract $36.00 from both sides of the inequality:

\[ 4x \leq 52.00 - 36.00 \]

This simplifies to:

\[ 4x \leq 16.00 \]

Next, we divide each side of the inequality by 4:

\[ x \leq \frac{16.00}{4} \]

This gives us:

\[ x \leq 4 \]

So, the solution is \( x \leq 4 \).

The correct answer is D. x ≤ 4.