Question

St boniface Hospital raises funds for research through its annual dinner and Gala event.For this event 353 tickets are available for purchase in total.A single ticket is sold for $92 and a family ticket is sold $122 this year the event sold out with sales of 39946 as the marketing manager ,wants to know how many family tickets were purchased

Answer 1

Given:

Total number of tickets = 353

Single ticket = $92

Family ticket = $122

Total sales = $39946

To find:

The number of family tickets.

Solution:

Let x be the number of single tickets and y be the number of family tickets.

Total tickets: $x+y=353$         ...(i)

Total sales: $92x+122y=39946$          ...(ii)

Multiply (i) by 92 and subtract the result from (ii).

$92x+122y-92(x+y)=39946-92(353)$

$92x+122y-92x-92y=39946-32476$

$30y=7470$

Divide both sides by 30.

$y=\dfrac{7470}{30}$

$y=249$

Therefore, the number of family tickets is 249.