7 terms

Systems Word Problems

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x= weekday y = weekends
x + y = 6
53x + 35y = 264
weekend days = 3; weekdays = 3
On a 6 day trip, Michael rented a car for $53 per day at weekday rates and $35 per day at weekend rates. If his total bill was $264, how many days did he rent at each rate?
x = colored paper, y = marker pens
8x + 3y = 6.50
2x + 2y = 3
marker pen= $1.10; colored paper = $.40
For an art project, Nicole bought 8 sheets of colored paper and 3 marker pens for $6.50. She later needed 2 sheets of colored paper and 2 marker pens. The items cost $3.00. Find the cost of 1 marker pen and 1 sheet of colored paper.
x = cappuccino y = house latte
2x + 3y = 10.95
x + 2y = 6.65
cappuccino = $1.95, house latte = $2.35
At a business meeting at Panera Bread, the bill for two cappuccinos and three house lattes was $10.95. At another table, the bill for one cappuccino and two house lattes was $6.65. How much did each beverage cost?
x = Junior Roast Beef y = Big Montana
15x + 10y = 75.25
30x + 5y = 84.65
Junior Roast Beef = $2.09 Big Montana= $4.39
Andrew works at Arby's. One day he sold 15 Junior Roast Beef sandwiches and 10 Big Montana sandwiches , totaling $75.25. Another day he sold 30 Junior Roast Beef sandwiches and 5 Big Montana sandwiches, totaling $84.65
l = length w = width
l = w + 42
228 = 2l + 2w
l= 78 feet, w= 36 feet
Venus and Serena measured a tennis court and found that it was 42 feet longer than it was wide and had a perimeter of 228 feet. What were the length and the width of the tennis court?
x = orchestra seats y = balcony seats
x + y = 650
7.5x + 3.5y = 4375
525 orchestra seats, 125 balcony seats
El Segundo High School put on their annual musical. The students sold 650 tickets for a value of $4375. If orchestra seats cost $7.50 and balcony seats cost $3.50, how many of each kind of seat were sold?
x = first number y = second number
3x + 5y = 68
3y - 4x = 6
x = 6, y = 10
Three times one number added to five times a second number is 68. Three times the second number minus four times the first number is 6. What are the two numbers?