Q. 59 - Algebra 2

Question

The Jackson Band Boosters sell beverages for $\backslash (1.75$ and candy for $\backslash )1.50$ at home games. Their goal is to have total sales of $\$525$ for each game.

If they sell $100$ beverages and $200$ pieces of candy, will the Band Boosters meet their goal?

Step-by-Step Solution

Answer

No, the band booster does not meet the goal.

Step 1. Defining the variable

Let,

Jackson sold beverages = x

Jackson sold candy= y

Step 2. Determining the cost of beverages and candy

Cost of 1 beverages = $\$1.75$

Cost of x beverages = $\$1.75x$

Cost of 1 candy = $\$1.50$

Cost of x candy =$\$1.50y$

Total goal to sale = $\$525$

Step 3. Forming an equation

$1.75x+1.50y=525$

Step 4. Evaluation of x and y

Band booster sell $100$ beverages 

So, $x=100$

And Band booster sell $200$pieces of candy

So, $y=200$

So, $1.75x+1.50y$ should be equal to 525 to meet the goal

$\begin{array}{l}1.75\times 100+1.50\times 200\\ =175+300\\ =475<525\end{array}$

So, Band booster does not meet the goal.