Solving & Graphing Systems of Equations in Real Life

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 50 tickets for $400, how many of each type of ticket did they sell? Set up the system of equations and graph it.

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 20 adult tickets and 30 student tickets

• 30 adult tickets and 20 student tickets

Maria has twice as many apples as John. Together, they have 24 apples. Set up a system of equations to find out how many apples each person has. Graph the equations and check your solution for accuracy.

• John has 12 apples and Maria has 12 apples.

• John has 8 apples and Maria has 16 apples.

• John has 10 apples and Maria has 14 apples.

• John has 6 apples and Maria has 18 apples.

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Another company charges a flat fee of $20 plus $0.25 per mile. How many miles must you drive for the costs to be the same? Set up the equations and graph them.

• 250 miles

• 200 miles

• 100 miles

• 150 miles

In a fruit market, oranges cost $3 per dozen and apples cost $2 per dozen. If a customer buys a total of 10 dozen fruits for $24, how many dozens of each fruit did they buy? Create a system of equations and check your solution.

• 3 dozen oranges and 7 dozen apples

• 4 dozen oranges and 6 dozen apples

• 5 dozen oranges and 5 dozen apples

• 6 dozen oranges and 4 dozen apples

A farmer has chickens and cows. If there are 20 animals in total and there are 56 legs, how many chickens and cows does the farmer have? Set up the equations, graph them, and verify your solution.

• 5 chickens and 15 cows

• 10 chickens and 10 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

Two friends are saving money for a concert. One saves $5 a week and the other saves $8 a week. If they want to save a total of $100 together, how many weeks will it take? Set up the system of equations and graph it.

• 10 weeks

• 12 weeks

• 6 weeks

• 8 weeks

A bookstore sells novels for $12 each and textbooks for $20 each. If a customer buys a total of 15 books for $240, how many novels and textbooks did they buy? Create the equations, graph them, and check your solution.

• 8 novels and 7 textbooks

• 12 novels and 3 textbooks

• 10 novels and 5 textbooks

• 5 novels and 10 textbooks

A local gym offers a monthly membership for $40 and a pay-per-visit fee of $5. If a member pays $65 in a month, how many times did they visit the gym? Set up the system of equations and verify your answer by graphing.

• 5

• 10

• 3

• 7

In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many boys and girls are there? Set up the equations, graph them, and check your solution for accuracy.

• 20 boys and 5 girls

• 12 boys and 13 girls

• 10 boys and 15 girls

• There are 15 boys and 10 girls.

A pizza shop sells small pizzas for $8 and large pizzas for $12. If a customer buys a total of 10 pizzas for $88, how many small and large pizzas did they buy? Create the system of equations, graph it, and verify your solution.

• 10 large pizzas and 0 small pizzas

• 6 small pizzas and 4 large pizzas

• 8 small pizzas and 2 large pizzas

• 5 small pizzas and 5 large pizzas