prom costs the school $6160. tickets are sold for $40 per single attendee or $70 per couple. are sold a minimum of how many people in total must attend the prom to cover its cost

Question

Prom costs the school $6160. tickets are sold for $40 per single attendee or $70 per couple. if an equal number of singles and couple tickets are sold a minimum of how many people in total must attend the prom to cover its cost.

Answer 1

Here's the problem: Prom costs the school $6160. tickets are sold for $40 per single attendee or $70 per couple. if an equal number of singles and couple tickets are sold a minimum of how many people in total must attend the prom to cover its cost.

Let N be the number of single tickets sold at $40. Then N is also the number of couples tickets sold at $70. Therefore we have:

$40 * N + $70 * N = $6160.

Solving for N gives us:

N = $6160 / ($40 + $70) = 6160 / 110 = 56.

So 56 single tickets and 56 couples tickets were sold.

Answer 2

Hi Bob,

Since an equal number of singles and couples tickets are sold, then we can treat each “sale” as if it’s being made to 3 people (one couple, one single) for a price of $40 + $70 = $110.

Then the number of these “sales” needed is $6,160 / $110 = 56 sales.

Since each sale involves 3 people then we have 56 * 3 = 168 people.

Please let me know if I can be more helpful, thanks!

Joe