Home
Class 12
MATHS
Tickets for a concert cost $4.50 for chi...

Tickets for a concert cost `$4.50` for children and `$12.00` for adults. 4460 concert tickets were sold for a total cost of `$29,220`. Solving which of the following systems of equations yeilds the number of children, c, and numbr of adults, a, that purchased concert tickets?

A

`c+a=4460`
`4.50 +12a=58.440`

B

`c+a=4460`
`4.50c+12a=29,220`

C

`c+a=4460`
`4.50c+12a=14,610`

D

`c+a=29,220`
`4.50c+12a=4460`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Tickets for a concert cost $4.00 for children and $6.00 for adults. 850 concert tickets were sold for a total cost of $3820 . How many children's tickets were sold?

Ticket prices for a school play are $7.50 for students and $10.00 for adults . For a given performance , 200 tickets were sold , and the performance took in $1,775. Solving which of the following systems of equations yields the number of student tickets , x , and the number of adult ticket , y, that were bought for that performance ?

Bailey's Boutique Clothing is having a 20% off sale during which shirts cost $30.00 and pants cost $60.00. On the day of the sale, Bailey's sells a total of 60 shirts and pants and earned a total of $2,250. On a regular day, Bailey's sells 2/3 the number of shirts and pants sold during the sale and earns a total of $1,875. Solving which of the following system of equations yields the number of shirts,s, and the number of pants,p, sold during a regular day?

Two types of tickets were sold for a concert held at an amphitheater. Tickets to sit on a bench during the concert cost $75 each, and tickets to sit on the lawn during the concert cost $40 each. Organizers of the concert announced that 350 tickets had been sold and that $19,250 had been raised through ticket sales alone. Which of the following systems of equations could be used to find the number of tickets for bench seats, B, and the number of tickets for lawn seats, L, that were sold for the concert?

Tickets to play cost $10 for children and $25 for adultes. If 90 tickets were sold, were more adult tickets sold than chidren's tickets? (1) The average revenue per ticket was $18. (2) The revenue from ticket sales exceeded $1,750

The most popular items at a bakery are its raspberry scones and its lemon poppy seed muffins. The shop sells both items in boxes of 12 at a cost of $15 per box of raspberry scones and $9 per box of lemon poppy seed muffins. On Friday and Saturday, the shop earned $396 by selliing a total of 46 boxes of these two items. If r and l represent the number of boxes of raspberry scones and lemon poppy seed muffins sold over the two-day period, respectively, which of the following systems of equations could be used to find the number of boxes of each type of item sold?

The average annual energy cost for a certain home is $4,334. The homeowner plans to spend $25,000 to install a geothermal heating system. The homeowner estimates that the average annual energy cost will then be $2,712. Which of the following inequalities can be solved to find t, the number of years after installation at which the total amount of energy cost savings will exceed the installation cost?

A group of students go on a field trip to a play . The cost of the bus is $450 , to be shared equally among the students . The ticket cost is discounted as follows : Tickets usually cost $50 each , but are reduced by 10 cents per ticket ,up to the maximum capacity of the bus. The goal is for the total cost per student to be less than $54. If x is the number of students in the group , which of the following correctly models the situation described ?

Two different families A and B are blessed with equal number of children. There are 3 tickets to be distributed amongst the children of these families so that no child gets more than one ticket. If the probability that all the tickets go to children of the family B is (1)/(12) then the number of children in each family is : (a) 3 (b) 5 (c) 4 (d) 6