Forum 2 Linear Equations 2
Forum #2: Linear Equations in Real Life
Pick one of the following problems. Show how you would solve it using a system of linear equations.
1) John spent $201 shirts and pants for work. Shirts cost $27 and pants cost $22. If he bought a total of 8 articles of clothing, then how many of each kind did he buy?
2) A school dance has 228 students. There are 63 fewer girls than twice as many boys.
How many boys and girls attended the dance?
3) There are 15 animals in the barn. Some are ducks and some are pigs. There are 46 legs in all. How many of each animal are there?
4) The sum of two numbers is 66. The larger number is three more than twice the smaller number. Find the numbers.
5) A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruit are there?
6) A Boy Scout troop carries 57 boys on a trip in 8 vehicles. Each van can carry 14 boys, while each car can carry 3 boys. How many vans and how many cars did the troop take?
7) A high school purchases two workbooks for every textbook, and two journals for every workbook. If the school purchases 301 total items, how many of each do they need?
8) A mom bought 28 packages of Reese’s Cups with 88 total cups. Each king size package holds 4 cups. Each regular size package holds two cups. How many of each size did she buy? 9) A high school marching band of 205 students went to a competition. They took 9 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.
10) The sum of three numbers is 47. One number is three more than the smallest number, and one number is twice the smallest number. What are the numbers?
11) A textbook publisher has two kinds of printing presses: Model A which can print 60 books per day and Model B which can print 65 books per day. The company owns 13 total printing presses and this allows them to print 800
Pick one of the following problems. Show how you would solve it using a system of linear equations.
1) John spent $201 shirts and pants for work. Shirts cost $27 and pants cost $22. If he bought a total of 8 articles of clothing, then how many of each kind did he buy?
2) A school dance has 228 students. There are 63 fewer girls than twice as many boys.
How many boys and girls attended the dance?
3) There are 15 animals in the barn. Some are ducks and some are pigs. There are 46 legs in all. How many of each animal are there?
4) The sum of two numbers is 66. The larger number is three more than twice the smaller number. Find the numbers.
5) A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruit are there?
6) A Boy Scout troop carries 57 boys on a trip in 8 vehicles. Each van can carry 14 boys, while each car can carry 3 boys. How many vans and how many cars did the troop take?
7) A high school purchases two workbooks for every textbook, and two journals for every workbook. If the school purchases 301 total items, how many of each do they need?
8) A mom bought 28 packages of Reese’s Cups with 88 total cups. Each king size package holds 4 cups. Each regular size package holds two cups. How many of each size did she buy? 9) A high school marching band of 205 students went to a competition. They took 9 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.
10) The sum of three numbers is 47. One number is three more than the smallest number, and one number is twice the smallest number. What are the numbers?
11) A textbook publisher has two kinds of printing presses: Model A which can print 60 books per day and Model B which can print 65 books per day. The company owns 13 total printing presses and this allows them to print 800