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Tickets to a concert a Lake Sumter Community College cost $5 for general admission or $4 with a student ID. If 184 people paid to see the concert and $812 was collected, how many of each type of ticket were sold?

Tickets to a concert a Lake Sumter Community College cost $5 for general admission or $4 with a student ID. If 184 people paid to see the concert and $812 was collected, how many of each type of ticket were sold?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I need help setting up number 4 and the directions say to solve the system by either substitution or elimination
S8lve éach problem using a system of equalions. You may solve the system by either substitution or elimination. 1. During the 2017 Major League Baseball regular season, the Chicago White Sox played 162 games. They won 28 fewer games than they lost. What was their win-loss record that year? 67 wins, 95 LOSses 2. Venus and Serena measured a tennis court and found that it was 42 feet longer than it was wide. It had a perimeter of 228 feet, What were the length and the width of the tennis court? length = 78 ft width=36ft 3. At a business meeting at Panera Bread, the bill (without tax) for two cappuccinos and three caffe lattes was $19.75. At another table, the bill for one cappuccino and two caffe lattes was $11.97. How much did each type of beverage cost? Cappaccino = $3.59, Caffe lattes =4.19 4. Tickets to a concert a Lake Sumter Community College cost $5 for general admission or $4 with a student ID. If 184 people paid to see the concert and $812 was collected, how many of each type of ticket were sold? 5. On the basis of total cost per day for business travel to New York City and Washington DC (including a hotel room, car rental, and three meals), 2 days in New York and 3 days in Washington cost $2484. Four days in New York and 2 days in Washington cost $3120. What was the average cost per day in each city? 6. In 2019, U.S. exports to Canada were $39.4 billion more than exports to Mexico. Together, exports to these two countries totaled $525.4 billion. How much were exports to each country. mixed 7. How many liters each of a 15% acid solution and 33% acid solution should bemissed to obtain 40 liters of a 21% acid solution?
Transcribed Image Text:S8lve éach problem using a system of equalions. You may solve the system by either substitution or elimination. 1. During the 2017 Major League Baseball regular season, the Chicago White Sox played 162 games. They won 28 fewer games than they lost. What was their win-loss record that year? 67 wins, 95 LOSses 2. Venus and Serena measured a tennis court and found that it was 42 feet longer than it was wide. It had a perimeter of 228 feet, What were the length and the width of the tennis court? length = 78 ft width=36ft 3. At a business meeting at Panera Bread, the bill (without tax) for two cappuccinos and three caffe lattes was $19.75. At another table, the bill for one cappuccino and two caffe lattes was $11.97. How much did each type of beverage cost? Cappaccino = $3.59, Caffe lattes =4.19 4. Tickets to a concert a Lake Sumter Community College cost $5 for general admission or $4 with a student ID. If 184 people paid to see the concert and $812 was collected, how many of each type of ticket were sold? 5. On the basis of total cost per day for business travel to New York City and Washington DC (including a hotel room, car rental, and three meals), 2 days in New York and 3 days in Washington cost $2484. Four days in New York and 2 days in Washington cost $3120. What was the average cost per day in each city? 6. In 2019, U.S. exports to Canada were $39.4 billion more than exports to Mexico. Together, exports to these two countries totaled $525.4 billion. How much were exports to each country. mixed 7. How many liters each of a 15% acid solution and 33% acid solution should bemissed to obtain 40 liters of a 21% acid solution?
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