Q17. - Algebra 1

Question

GRIDDED RESPONSE The booster club pays \(180 to rent a concession stands at a football game. They purchase cans of soda for \)0.25 and sell them at the game for $1.15. how many cans of soda must they sell to break even?

Step-by-Step Solution

Answer

They must sell 200 soda cans.

Step 1. Write equation.

Let $x$ represents the number of cans. To break down, the profit should be greater than total pay. Therefore,

$\left(1.15-0.25\right)x\ge 180$

Step 2. Subtract.

Subtract the two terms in the parentheses.

$0.9x\ge 180$

Step 3. Division.

Divide each side by $0.9$.

$$\begin{gathered} \frac{0.9x}{0.9}\ge \frac{180}{0.9} \\ x\ge 200 \end{gathered}$$

Therefore, the number of cans is 200.