v = vans, c = cars, v + c = 4, 6v + 4c = 22 - An art class is planning a trip to a museum. There are 22 people going on the trip. There are four drivers and two types of vehicles, vans and cars. The vans seat six people and the cars seat four people, including drivers. How many vans and cars does the class need for the trip?, a = adult tickets, s = student tickets, a + s = 292, 3a + 1s = 470  - Altogether 292 tickets were sold for a high school basketball game. An adult ticket costs $3. A student tickets costs $1. Ticket sales were $470. How many adult and student tickets were sold?, c = greeting cards, w = gift wrap, c + w = 205, 10c + 4w = 1084 - Suppose your class receives $1084 for selling 205 packages of greeting cards and gift-wrap. The greeting cards cost $10 per package and the gift-wrap costs $4 per package. How many packages of greeting cards were sold? How much gift-wrap was sold?, b = brass part, s = steel part, 3b + 10s = 48, 7b + 4s = 54 - A company orders two types of parts: brass and steel. One shipment contains 3 brass parts and 10 steel parts and costs $48. A second shipment contains 7 brass and 4 steel parts and costs $54. Find the cost of each type of part., n = $ per night, m = $ per meal, 2n + 4m = 195, 7n + 10m = 650 - A weekend at the Beach Bay Hotel in Florida includes two nights and four meals, which cost $195. A week includes seven nights and ten meals, which cost $650. HOw much does it cost per night and per meal to stay in this hotel?, x = 1st angle measure, y = 2nd angle measure, x + y = 180, x - y = 35 - The difference of the measure of two supplementary angles is 35 degrees. Find both angle measures., q = quarters, d = dimes, q + d = 12, .25q + .10d = 1.95 - You have a total of 12 coins, with only quarters and dimes. How many of each coin do you have if you have $1.95?, d = dimes, n = nickels, d + n = 10, .10d + .05n = .85 - Suppose you have 10 coins tht total $.85. Some coins are dimes and some are nickels. How many of each coin do you have?, x = 1st integer, y = 2nd integer, x + y = 1244, x - y = 90 - Find two integers with a sum of 1244 and a difference of 90., y = total number of visits, x = daily visits, y = 400 + 25x, y = 200 + 50x - In the fall, the math club and the science club each created an Internet site. You are the Webmaster for both sites. Science Club: There are currently 400 daily visitis and the visits are increasing at a rate of 25 daily visits per month. Math Club: There are currently 200 daily visits and the visits are increasing at a rate of 50 daily visits per month. Predict when the number of visits at the two sites will be the same. , x = number of visits, y = total cost, y = 22,000 + .12x, y = 24,500 + .10x - Car Model X costs $22,000 to purchase and an average of $.12 per mile to maintain. Car Model Y costs $24,500 to purchase and an average of $.10 per mile to maintain. Determine how many miles must be driven for the toal cost of the two models to be the same., x = # of people per month, y = total number of people, y = 40 + 2x, y = 22 + 8x - A fitness clubs offers two water aerobic classes. There are currently 40 people regularly going to morning class, and attendance is increasing at a rate of 2 people per month. There are currently 22 people regularly going to the evening class, and attendance is increasing at a rate of 8 people per month. Predict when the number of people in each class will be the same., x = adult, y = child, x + y = 321, 6x + 4y = 1590 - In one day, the National Civil Rights Museum in Memphis, Tennessee, collected $1590 from 321 people admitted to the museum. The price of each adult admission is $6. People with the agaes 4 - 17 pay the child admission, $4. Estimate how many adults and how many children were admitted that day., x = student ticket, y = general admission ticket, x + y = 525, 4x + 6y = 2876 - You are selling tickets for a high school play. Student tickets cost $4 and general admission tickets cost $6. You sell 525 tickets and collect $2876. How many of each type of ticket did you sell?, x = pony league softball, y = junior league softball, x + y = 80, 2.75x + 3.25y = 245 - You are ordering softballs for two softball leagues. The Pony League used an 11-inch softball priced at $2.75. The Junior League used a 12-inch softball priced at $3.25. A total of 80 softballs were purchased for $245. How many of each size was ordered?, x = 5 point question, y = 2 point question, x + y = 38, 5x + 2y = 100 - Next week's test is worth 100 points and contains 38 problems. Each problem is worth either 5 points or 2 points. As an extra credit question, figure out how many of each type of question is on the test, before you take the test., x = width, y = length, 2x + 2y = 30, y = 3x + 7 - The length of a rectangle is 7 cm more than 3 times the width. If the perimeter of the rectangle is 30 cm, what are its dimensions?, x = width, y = length, 2x + 2y = 32, y = 3x + 8 - The length of a rectangle is 8 cm more than 3 times the width. If the perimeter of the rectangle is 32 cm, what are the dimensions?, x = 1st number, y = 2nd number, x + y = 7, 2x - y = -1 - Twice a number minus another number is -1. The sum of the two numbers is 7. Find the numbers., x = bagel, y = orange juice, 2x + 2y = 3, 2x + 1y = 2 - Two bagels and two cups of orange juice cost $3.00. Two bagels and one cup of orange juice cost $2.00. How much does one cup of orange juice cost?,

Setting Up Systems of Linear Equations (Application)

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