Graphing and Analyzing Systems of Equations in Real Life

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If the school sold a total of 150 tickets for $1,200, how many adult and student tickets were sold? Set up the system of equations and graph it to find the solution.

• 80 adult tickets and 70 student tickets were sold.

• 100 adult tickets and 50 student tickets were sold.

• 90 adult tickets and 60 student tickets were sold.

• 60 adult tickets and 90 student tickets were sold.

A farmer has chickens and cows. The total number of animals is 50, and there are 140 legs in total. How many chickens and cows does the farmer have? Write the system of equations and check for consistency by graphing.

• The farmer has 30 chickens and 20 cows.

• 15 chickens and 35 cows

• 25 chickens and 25 cows

• 40 chickens and 10 cows

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $15 a week, while Jamie saves $10 a week. If Alex has $30 more than Jamie after a certain number of weeks, how many weeks will it take for them to have the same amount saved? Set up the equations and graph them.

• 6 weeks

• 10 weeks

• 4 weeks

• 8 weeks

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Another company charges $30 plus $0.25 per mile. How many miles would you need to drive for both companies to charge the same amount? Create the system of equations and graph it to find the solution.

• 400 miles

• 500 miles

• 200 miles

• 300 miles

In a school, the ratio of boys to girls is 3:2. If there are 40 boys, how many girls are there? Set up a system of equations to represent the situation and check for consistency by graphing.

• 26

• 35

• 30

• 20

A store sells two types of shirts: plain shirts for $15 each and graphic shirts for $20 each. If a customer buys a total of 10 shirts for $150, how many of each type did they buy? Write the system of equations and graph it to find the solution.

• 10 plain shirts and 0 graphic shirts

• 5 plain shirts and 5 graphic shirts

• 8 plain shirts and 2 graphic shirts

• 0 plain shirts and 10 graphic shirts

A local bakery sells muffins and cookies. Each muffin costs $2 and each cookie costs $1. If a customer buys a total of 20 items for $30, how many muffins and cookies did they buy? Set up the equations and check for consistency by graphing.

• 10 muffins and 10 cookies

• 12 muffins and 8 cookies

• 5 muffins and 15 cookies

• 15 muffins and 5 cookies

A movie theater has two types of seating: regular seats and VIP seats. Regular seats cost $12 and VIP seats cost $20. If the theater sold 100 seats for a total of $1,400, how many of each type were sold? Create the system of equations and graph it to find the solution.

• 60 regular seats and 40 VIP seats were sold.

• 70 regular seats and 30 VIP seats were sold.

• 75 regular seats and 25 VIP seats were sold.

• 80 regular seats and 20 VIP seats were sold.

A gardener is planting flowers and shrubs. Each flower costs $3 and each shrub costs $5. If the gardener spends a total of $60 and plants 20 items, how many flowers and shrubs did they plant? Set up the equations and check for consistency by graphing.

• 10 flowers and 10 shrubs

• 20 flowers and 0 shrubs

• 5 flowers and 15 shrubs

• 15 flowers and 5 shrubs

A bookstore sells fiction and non-fiction books. Fiction books cost $12 and non-fiction books cost $15. If a customer buys a total of 8 books for $96, how many of each type did they buy? Write the system of equations and graph it to find the solution.

• 2 fiction books and 6 non-fiction books

• 8 fiction books and 0 non-fiction books

• 4 fiction books and 4 non-fiction books

• 6 fiction books and 2 non-fiction books