The admission prices for the Coca-Cola Museum in Atlanta are shown. A family purchased 2 more children's tickets than adult tickets, and 1 less
senior ticket than adult tickets. The total cost of the tickets was $68. How many of each type of ticket did they purchase?
adult
tickets
senior
tickets
child
tickets
Coke
Coke ADMISSION PRICES Coke
..$9
Adults.....
Seniors.... $8
Children...$5

Respuesta :

If the price of adult ticket is $9, senior ticket is $8, children ticket is $5 and the family purchased tickets of $68  then the number of children tickets be 5, number of adult tickets be 3 and the number of senior tickets be 2.

Given that the price of adult ticket is $9, senior ticket is $8, children ticket is $5 and the family purchased tickets of $68.

We are required to find the number of children tickets,number of senior tickets and number of adult tickets.

let the number of adult tickets that family purchased be x.

According to question the expressions which shows the number of tickets will be as under:

Number of children tickets=x+2.

Number of adult tickets=x.

Number of senior tickets=x-1.

Price paid by the family=5(x+2)+9x+8(x-1)

Price=5x+10+9x+8x-8

Price=22x+2

Using the value of price=$68

22x+2=68

22x=66

x=66/22

x=3

Number of children tickets=x+2=3+2=5

Number of adult tickets=x=3

Number of adult tickets=x-1=3-1=2

Hence if the price of adult ticket is $9, senior ticket is $8, children ticket is $5 and the family purchased tickets of $68  then the number of children tickets be 5, number of adult tickets be 3 and the number of senior tickets be 2.

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