Q37. - Algebra 2

Question

Tickets for Preston Ville High School Drama Club’s spring play cost $4$ for adults and $3$ for students. In order to cover expenses, at least $2000$ worth of tickets must be sold.

If $180$ adult and $465$ students, tickets are sold, will the club cover its expanses?

Step-by-Step Solution

Answer

Yes the club will cover its expanses.

Step 1 illustration of given data

The given data are 

The cost of tickets for adults is $4$ 

The cost of tickets for students is $3$

To cover the expenses at least worth of tickets are $2000$

Step 2 formulation of equation

Given 

The number of tickets for adult is $180$

The number of tickets for students is $465$

So, the value is

$4\times 180+3\times 465=2115$

Step 3 comparison

On comparing the value given in question and the value obtained from calculation 

It is determined that the calculated value is more than the given value.

So, the recovery is completed on $2000$ and value calculated is $2115$

Hence, the recovery is possible.