algebra(help)
posted by Deb .
2000 tickets were sold for a play generating 19,700. The prices of the tickets were $5 for children, $10 for students and $12 for adults. There were 100 more adult tickets sold than students. Find the number of each type ticket sold.
Find the number of each type sold.
Thanks for your help.

student tickets  x
adult tickets  x+100
children tickets  2000 x  (x+100) = 19002x
5(19002x) + 10x + 12(x+100) = 19700
9500  10x + 10x + 12x + 1200 = 19700
12x = 9000
x = 750 student tickets
x+100 = 850 adult tickets
leaving 400 children tickets
check:
5(400) + 10(750) + 12(850) = 19700
Respond to this Question
Similar Questions

Math
The drama club raised a total of $1,123.50 selling tickets to its production of Othello. Tickets cost $4.50 for adults and $2.00 for students. Three times as many student tickets were sold as adult tickets. Which system of equations … 
college algebra
Using Systems of Equations. Please help!!! I'm not sure what steps to do, to work this problem. #7) Five hundred tickets were sold for a school play, which generated $3560 in revenue. The prices of the tickets were $5 for children, … 
MTED402
THERE WERE 390 ADULT AND CHILDREN TICKETS THAT WERE SOLD AT A PLAY. THE THEATRE SOLD 2.25 TIMES MORE ADULT TICKETS THEN CHILDREN TICKETS. IF ADULT TICKETS COST $8 AND CHILD TICKETS COST $3. WHAT WAS THE TOTAL REVENUE FOR THE AMOUNT … 
Math
The seventh graders sold tickets to their play.the tickets cost $3 for students and $6 for adults. For one performance they sold 79 tickets and collected $375. How many student tickets and how many adult tickets were sold? 
math
425 in tickets were sold they were either adults or students tickets the number of student tickets were sold was three times the amount of adult ticket sold how many adult tickets were sold 
algebra word problem
Not exactly sure how to solve this. 2000 tickets were sold for a play generating $19,700. The price for tickets $5 for children, $10.00 for students and $12.00 for adults. There were 100 more adult tickets sold than students. Find … 
Math
Tickets to a school play were $5 for adults and $3 for students. A total of 247 tickets were sold for a profit of $1000. How many adult tickets an student tickets were sold? 
Math
Exactly 120 tickets were sold for a concert. The tickets cost $12 each for adults, $10 each for seniors, and $6 each for children. The number of adult tickets sold was equal to the number of child tickets sold. Given that the total … 
math
Children and adult tickets were sold for a local play. The children and adult tickets sold for $11 and $16, respectively. If 150 tickets were sold, and the total revenue was $2250 for the night, find the number of children and adult … 
Math
A theater has tickets for $6 for adults, $3.50 for students, and $2.50 for preschool children. A total of 238 tickets were sold for one showing with a total revenue of $1142. If the number of adult tickets sold was 10 more than twice …