Q:

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?

Accepted Solution

A:
Answer: number of tickets sold to adult = 566Step-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 have3x + 5y = 3943 - - - - - -1The number of adult tickets sold was 195 more than the number of student tickets. This meansy = x +195. Put y = x +195 in equation 13x + 5(x+195) = 39433x + 5x + 975= 39438x +975=39438x = 3943-975= 2968x = 2968/8 = 371y = 371 + 195= 566