Chapter SH, Problem 5.6MPS

To determine

To calculate:To write and solve an inequality equation to find the number of tickets required to be sold to make a profit for the below table when the ticket is sold for $\$3.50$ .

  

Answer to Problem 5.6MPS

The inequality equation is $x\ge 168.57$ , so the minimum number of tickets required to be sold to make profit is $169$ .

Explanation of Solution

Given information:

Given-

Ticket is sold for $\$3.50$ and details of the dance class are -

  

Calculation:

Given-

Price of one Ticket $=$ $\$3.50$ .

Details of the dance class are -

  

Let the number of ticketsbe $x$ .

Cost of all Items for the dance class expenses $=$ $\$$ $75+165+205+35+110$

Thus, cost of all Items for the dance class expenses $=$ $\$$ $590$

So, the inequality equation to find the minimum number of tickets required to make profit is:

  $\left(3.50\times x\right)\ge 590$

Solving further, we have:

  $x\ge 168.57$

Thus, the minimum number of tickets required to be sold to make profit is $169$ .

Conclusion:

The inequality equation is $x\ge 168.57$ , so the minimum number of tickets required to be sold to make profit is $169$ .