21.22.For opening night of a school production of Our Town, 410 tickets were sold. Students paid $6each, while nonstudents paid $14 each. If a total of $3300 was collected, how many students andhow many nonstudents attended?Two friends are comparing how much cash they each have. Abby has two dollars less than threetimes as many dollars as Tom. If Abby has $52, use algebra to determine how much money Tomhas.

Topic = Algebra As per guidelines , At a time only one question can be answered. please repost for…

Answered: 21. For opening night of a school…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 16PT: In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18...

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At a carnival, $2,914.25 in receipts were taken at the end of the day. The cost of a child's ticket was $20.50, an adult ticket was $29.75, and a senior citizen ticket was $15.25. There were twice as many senior citizens as adults in attendance, and 20 more children than senior citizens. How many children, adult, and senior citizen tickets were sold?
Hector wants to place billboard advertisements throughout the county for his new business. How many ways can Hector choose 15 neighborhoods to advertise in if there are 30 neighborhoods in the county?
If a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?
Parent Volunteer Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $24 full-year registration fee and how many had paid a $16 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $400 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?
In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18 compete in the tango competition. and 6compete in both the fox-trot and tango competitions. How many dancers compete in the foxtrot or tango competitions?
Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $15 full-year registration fee and how many had paid the $10 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $250 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?
Galen sold 810 tickets for his church’s carnival for a total revenue of $2,820. Children’s tickets cost $3 each and adult tickets cost $5 each. How many children’s tickets and how many adult tickets did he sell?
How many ways can 4 men and 4 women stand in line if all the women are first?
:: 6.98 Translate to a proportion: 27 is 36% of what number?
Alison has three times as many dimes as quarters in her purse. She has $9.35 altogether. How many coins of each type does she have?
Your roommate, John, offered to buy household supplies for you and your other roommate. You live near the border of three states, each of which has a different sales tax. The total amount of money spent was $100.75. Your supplies were bought with 5% tax, John's with 8% tax, and your third roommate's with 9% sales tax. The total amount of money spent without taxes is $93.50. If your supplies before tax were $1 more than half of what your third roommate's supplies were before tax, how much did each of you spend? Give your answer both with and without taxes.
The top three countries in oil consumption in a certain year are as follows: the United States, Japan, and China. In millions of barrels per day, the three top countries consumed 39.8% of the world's consumed oil. The United States consumed 0.7% more than four times China's consumption. The United States consumed 5% more than triple Japan's consumption. What percent of the world oil consumption did the United States, Japan, and China consume?[27]

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21. For opening night of a school production of Our Town, 410 tickets were sold. Students paid $6 each, while nonstudents paid $14 each. If a total of $3300 was collected, how many students and how many nonstudents attended?