A school play ran for two nights, with audiences totaling 1390 adults and students. They paid $4,285for admission. One adult ticket cost $4.00 and one student ticket cost $2.50. The ratio of adults testudents was 3:5 on the first night and 2: 3 on the second night. How many students attended eachnight? 18. The cost of 4 L of oil and 50L of gasoline is $42.50. The cost of 3 L of oil and 35 L of gasoline is $30.30.Determine the cost of 1 L of oil and 1 L of gasoline.19. When Chana rented a car for 3 days and drove 160 km, the charge was $124. When she rented thesame car for 5 days and drove 400 km, the charge was $240, What was the charge per day and thecharge per kilometer?20. The cost of renting a car depends on the number of days for which it is rented and the distance it isdriven. The cost for one day and 240 km is $39. The cost for three days and 800 km is $125. What is thecost per day and the cost per kilometer?21. A school play ran for two nights, with audiences totaling 1390 adults and students. They paid $4,285for admission. One adult ticket cost $4.00 and one student ticket cost $2.50. The ratio of adults tostudents was 3:5 on the first night and 2: 3 on the second night. How many students attended eachnight?22. A patrol plane can carry fuel for 8 hours of flying time, and can fly at 300 km/h in still air. Its outboundpatrol is against a 30 km/h head wind. It returns with a 30 km/h tailwind. How far can it fly against thehead wind and return safely?23. An aircraft travels 5432 km from Montreal to Paris in 7 hours and returns in 8 hour. The wind speed isconstant. Determine the wind speed and the speed of the aircraft in still air.24. Five kilograms of tea and 8 kg of coffee cost $58. The price of tea increases by 15% and that of coffeeby 10%. The new total is $65.30. What are the new prices for 1 kg of tea and 1 kg of coffee?25. A lifeguard earns an hourly rate for 20 hours of work in one week and an increased rate for overtime.One week, Theresa worked 24 hours and received $166.40. The next week, she worked 27.5 hours andreceived $200.00. Determine her hourly rate and her overtime rate of pay.26. The sum of three numbers is 15. The sum of the first, second, and twice the third is 20. The sum of the 21. A school play ran for two nights, with audiences totaling 1390 adults and students. They paid $4,285for admission. One adult ticket cost $4.00 and one student ticket cost $2.50. The ratio of adults tostudents was 3:5 on the first night and 2:3 on the second night. How many students attended eachnight?

We will make 2 equations then solve it.

A school play ran for two nights, with audiences totaling 1390 adults and students. They paid $4,285 for admission. One adult ticket cost $4.00 and one student ticket cost $2.50. The ratio of adults te students was 3:5 on the first night and 2: 3 on the second night. How many students attended each night?

A school play ran for two nights, with audiences totaling 1390 adults and students. They paid $4,285 for admission. One adult ticket cost $4.00 and one student ticket cost $2.50. The ratio of adults te students was 3:5 on the first night and 2: 3 on the second night. How many students attended each night?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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