Word problems involving money, Mathematics

Word Problems Involving Money:

The promoter of a track meet engages a 6,000 seat armory.  He needs to gross $15,000. The price of children's tickets is to be one-half the price of adults' tickets.  If there is one-third of the crowd is children, what should be the price of tickets, supposing capacity attendance?


Step 1. Let x = Price of an Adult Ticket (in dollars)

Step 2. Then,

x/2 = Price of a child ticket (in dollars)

1/3 (6,000) = 2. 000 = Number of children's Tickets

6,000 - 2, 000 = 4, 000 = Number of Adults' Tickets

Step 3. Gross Income = (Number of Children's Tickets times their Unit Price) + (Number of Adults' Tickets times their Unit Price)

$ 15,000 = 2,000(x/2) + 4, 000(x)

Step 4. Solving for x:

15,000 = 2,000 (x/2) +4,000 (x)

15,000 1,000x 4,000x

15,000 5,000x

x          $3.00

Solving for the other unknown:

x/2 = Price of a Child's (in dollars)

x/2 = $3.00/2

x/2 = $1.50


Price of Adults' Tickets = $3.00

Price of Children's Tickets = $1.50

Step 5. The  price  of  children's  tickets  is  one-half  the  price  of  adults' tickets.

1/2 ($ 3. 00) = $1. 50

The gross is $15,000.

4,000($3.00) + 2,000($1.50) = $12,000 + $3,000 = $15,000

Therefore, the answers check.

Posted Date: 2/9/2013 4:48:22 AM | Location : United States

Related Discussions:- Word problems involving money, Assignment Help, Ask Question on Word problems involving money, Get Answer, Expert's Help, Word problems involving money Discussions

Write discussion on Word problems involving money
Your posts are moderated
Related Questions
A 20-foot light post shows a shadow 25 feet long. At the similar time, a building nearby casts a shadow 50 feet long. determine the height of building? a. 40 ft b. 62.5 ft

Q. Example of negative number? If you take an elevator 8 stories  down , what would be the opposite of this? The opposite would be that you take the elevator 8 stories  up .

Give an Equations with the variable on both sides ? Many equations that you encounter will have variables on both sides. Some of these equations will even contain grouping sy

What is the better buy?a square pizza measuring 8 inches by 8inches that cost $10 or a round pizza with a 9 inch diameter that also cost $10?

Jay bought twenty-five $0.37 stamps. How much did he spend? To ?nd how much Jay spent, you must multiply the cost of each stamp ($0.37) through the number of stamps purchased (

How much greater is 0.0543 than 0.002? To ?nd out how much greater a number is, you required to subtract; 0.0543 - 0.002 = 0.0523. For subtract decimals and line the numbers up

Leo works at the Bagel Shop after school and on Saturdays. He is paid $4.00 per hour after school and $5.00 per hour on Saturday. Last week Leo worked a total of 12 hours and made

Aaron is installing a ceiling fan in his bedroom. Once the fan is in motion, he requires to know the area the fan will wrap. What formula will he use? The area of a circle is π