Question

Suppose there are two types of tickets to a show: advance and same day. The combined cost of one advance ticket and one same day ticket is $60. For one performance, 20 advance tickets and 40 same day tickets were sold. The total amount paid for the tickets was $2000. What was the price of each kind of ticket?

Answer 1

Answer:

Answer = $30.00 advanced and $36.00 same day.

Step-by-step explanation: We can replace 20:40 ratio.

30 x 20 and 70 x 20 = 600+ 800 =3/5  to find 2/4 = 12/20 finds 10/20 through HCF and hereafter we have one ticket is 1/6 more. So if 60 tickets were sold for 2000 then $33.33 would be the average and if one was 1/6 more than the other it is 0.5/6 higher than 33.33 =2.66 more = £36 for All day and £30 for Advanced tickets. 36 x 20 = $600  and 36 x 40 =$1400. We know its $30 as we can double check its ratio after. 20:40 is 1/2 but then take off $3 each side to balance back to find $60 combined. $2000=1400+$600 =1:2 and 2:4 ratio.