What's the inequality? (question in description)

Question

The school drama club plans to attend a festival in 6 weeks. The total cost per person is $185.75. The club has $296 in its account and will divide the money equally among the 8 members who attend the festival. Troy is planning to go and has saved $55. How much more money does Troy need in order to cover his cost to attend the festival? Write your answers as an inequality.

Answer 1

Hi Dan,

 

Let's begin by seeing how much money Troy has now:

    1.  Saved amount = $55

    2.  Club contribution = $296/8 = $37

    

So he now has a total amount of $92 ($55 + $37).

 

The admission price is $185.75, so let's see what the difference is between his total amount now and the admission price:

    $185.75 - $92 = $93.75

 

So the difference ($93.75) is the amount he still needs to get to cover the cost of the admission price.

 

If we call "x" the amount he still needs to get and that value we just determined is $93.75, then our inequality will be:

    x ≥ $93.75

 

Thanks for submitting this problem and glad to help.

 

God bless, Jordan.