The French club is sponsoring a bake sale. If their goal is to raise at least $135, how many pastries must they sell at $2.50 each in order to meet that goal? Write and solve an inequality.

Question

135p ≥ 2.50; p ≥ 54

2.50p ≥ 135; p ≥ 132.5

2.50p ≥ 135; p ≥ 337.5

2.50p ≥ 135; p ≥ 54

Answer 1

To solve this problem, we will set up and solve the inequality for the number of pastries, \( p \), that need to be sold to reach the goal of at least $135. The expression for the revenue from selling \( p \) pastries at $2.50 each is \( 2.50p \).

The inequality can be set up as follows:

\[ 2.50p \geq 135 \]

Next, we will isolate \( p \) by dividing both sides of the inequality by 2.50:

\[ p \geq \frac{135}{2.50} \]

Calculating the right-hand side:

\[ \frac{135}{2.50} = 54 \]

So, we have:

\[ p \geq 54 \]

This means they need to sell at least 54 pastries to meet their goal.

The correct option from the choices you provided is:

2.50p ≥ 135; p ≥ 54