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? Answers is 400,450

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Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
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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? Answers is 400,450
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 the
same car for 5 days and drove 400 km, the charge was $240, What was the charge per day and the
charge per kilometer?
20. The cost of renting a car depends on the number of days for which it is rented and the distance it is
driven. The cost for one day and 240 km is $39. The cost for three days and 800 km is $125. What is the
cost per day and the cost per kilometer?
21. A school play ran for two nights, with audiences totaling 1390 adults and students. They paid $4,285
for admission. One adult ticket cost $4.00 and one student ticket cost $2.50. The ratio of adults to
students was 3:5 on the first night and 2: 3 on the second night. How many students attended each
night?
22. A patrol plane can carry fuel for 8 hours of flying time, and can fly at 300 km/h in still air. Its outbound
patrol is against a 30 km/h head wind. It returns with a 30 km/h tailwind. How far can it fly against the
head 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 is
constant. 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 coffee
by 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 and
received $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
Transcribed Image Text: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 the same car for 5 days and drove 400 km, the charge was $240, What was the charge per day and the charge per kilometer? 20. The cost of renting a car depends on the number of days for which it is rented and the distance it is driven. The cost for one day and 240 km is $39. The cost for three days and 800 km is $125. What is the cost per day and the cost per kilometer? 21. A school play ran for two nights, with audiences totaling 1390 adults and students. They paid $4,285 for admission. One adult ticket cost $4.00 and one student ticket cost $2.50. The ratio of adults to students was 3:5 on the first night and 2: 3 on the second night. How many students attended each night? 22. A patrol plane can carry fuel for 8 hours of flying time, and can fly at 300 km/h in still air. Its outbound patrol is against a 30 km/h head wind. It returns with a 30 km/h tailwind. How far can it fly against the head 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 is constant. 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 coffee by 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 and received $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
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