Question

Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults. The number of adult tickets sold was 195 more than the number of student tickets. If DCHS collected $3943 for the tickets, how many tickets were sold to adults?

Answer 1

Answer: number of tickets sold to adult = 566

Step-by-step explanation:

Let x = number of tickets sold by DCHS to students.

Let y = number of tickets sold DCHS to adults.

Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults.

This means cost of total tickets sold to students and adults is $3x and $5y respectively.

If DCHS collected $3943 for the tickets, then we have

3x + 5y = 3943 - - - - - -1

The number of adult tickets sold was 195 more than the number of student tickets. This means

y = x +195.

Put y = x +195 in equation 1

3x + 5(x+195) = 3943

3x + 5x + 975= 3943

8x +975=3943

8x = 3943-975= 2968

x = 2968/8 = 371

y = 371 + 195= 566