Ok
Let Children=C
Let Adult=A
Set up two equations:
3C+9A=$1905
C+A=419 tickets
Solve the second equation for C or A, I'm choosing A
A=419-C
Sub it into the other equation
3C+9(419-C)=1905
3C+3771-9C=1905 Distribute
3771-6C=1905 Combine like terms
-6C=(-1866) Subtract 3771 from both sides
C=311 Divide by -6
Take 311 and plug it into the other equation "C+A=419"
to find A=108
Answer
Sold 108 adult tickets and 311 child tickets
10 adults & 10 children's
Let A be the number of adult tickets sold. As 325 tickets in total were sold, the number sold to students was 325 - A. The income from the sale of adult tickets = A x 5 = 5A The income from the sale of student tickets = (325 - A) x 2 = 650 - 2A Total Income = 995 = 5A + 650 - 2A = 3A + 650 3A = 995 - 650 = 345 A = 115, therefore S = 325 - 115 = 210. 115 Adult tickets were sold and 210 Student tickets.
Sounds like a system of equations. X = adult ticket Y = student ticket Change all to pennies for convenience. X + Y = 105 300X + 150Y = 25000 -150(X + Y = 105) - 150X - 150Y = - 15750 300X + 150Y = 25000 -----------------------------------add them 150X = 9250 X = 62 adult tickets ------------------------ Y = 43 student tickets -------------------------- Those two prices added together = $250.50 So, we are a little off. I rounded the adult ticket number, but pieces of tickets can not be sold, so check work.
answer is 325 adult tickets were sold ( fmtickets.com )
I'll try to explain it.We know that an adult's ticket is two times the cost of a child's ticket. We will call the child's ticket "y". If we do so, the adult's ticket will be 2"y" because it's two times the cost of a child's ticket. We also know that the total cost is 28. Now, we'll write an equation, knowing the number of children and adults and the relationship between the costs:2*2y will be the two adult's tickets.3*y will be the three children's tickets.The equation:2*2y+3*y=284y+3y=287y=28y=4Now, we know that ONE child's ticket costs 4. To find out how much an adult's ticket costs, we have to double it (look at the exercise, it says that an adult's ticket is two times the cost of a child's ticket).4*2=8Finally, we've found out that a child's ticket costs 4 and an adult's ticket costs 8.We can check it as well:2*8+3*4=16+12=28
7 Adult tickets 13 Child tickets
10 adults & 10 children's
If you buy online the adult tickets are $7, the kid tickets are $6, and the senior tickets are $5. If you buy at the theater the adult tickets are $6, the kid tickets are $5, and the senior tickets are $5. So, if you're planning on going to the movies, you should buy your tickets at the theater.
8 Adult tickets
Yes, you can just buy Soak City tickets if you would like. Single day adult tickets online are $32.99 and Jr/Senior tickets are $18.99.
12 student tickets
325 Tickets sold to adults 400 tickets sold to students
Let A be the number of adult tickets sold. As 325 tickets in total were sold, the number sold to students was 325 - A. The income from the sale of adult tickets = A x 5 = 5A The income from the sale of student tickets = (325 - A) x 2 = 650 - 2A Total Income = 995 = 5A + 650 - 2A = 3A + 650 3A = 995 - 650 = 345 A = 115, therefore S = 325 - 115 = 210. 115 Adult tickets were sold and 210 Student tickets.
Sounds like a system of equations. X = adult ticket Y = student ticket Change all to pennies for convenience. X + Y = 105 300X + 150Y = 25000 -150(X + Y = 105) - 150X - 150Y = - 15750 300X + 150Y = 25000 -----------------------------------add them 150X = 9250 X = 62 adult tickets ------------------------ Y = 43 student tickets -------------------------- Those two prices added together = $250.50 So, we are a little off. I rounded the adult ticket number, but pieces of tickets can not be sold, so check work.
700/2 = 350350 - 25 = 325325 adult tickets700 - 325 = 375375 kids tickets
The tickets are $5 adult and $2 child. Here is the algebraic substitution. A = adult ticket money C = child ticket money 120C + 80A = 640 C = A-3 (three dollars less) 120 (A-3) + 80A = 640 120 A - 360 + 80A = 640 200 A = 1000 A = 5 C = A - 3 = 2 Checking your answer: 120(2) + 80 (5) = 240 + 400 = 640
answer is 325 adult tickets were sold ( fmtickets.com )