Q59. - Algebra 2

Question

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

59. 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 

 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.