Solving and Graphing Animal and Money Problems

A farmer has chickens and cows. If the total number of animals is 30 and there are 10 more chickens than cows, set up a system of equations to find the number of each type of animal. Graph the equations and check your solution for accuracy.

• Cows: 12, Chickens: 18

• Cows: 10, Chickens: 20

• Cows: 5, Chickens: 25

• Cows: 15, Chickens: 15

Maria and John are collecting stickers. Maria has 5 more stickers than John, and together they have 45 stickers. Create a system of equations to determine how many stickers each person has. Graph the equations and verify your solution.

• John has 15 stickers and Maria has 30 stickers.

• John has 25 stickers and Maria has 20 stickers.

• John has 20 stickers and Maria has 25 stickers.

• John has 10 stickers and Maria has 35 stickers.

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 100 tickets for $700, set up a system of equations to find the number of adult and student tickets sold. Graph your equations and check your answers.

• 20 adult tickets and 80 student tickets were sold.

• 50 adult tickets and 50 student tickets were sold.

• 30 adult tickets and 70 student tickets were sold.

• 40 adult tickets and 60 student tickets were sold.

In a bookstore, the number of fiction books is twice the number of non-fiction books. If there are 60 books in total, create a system of equations to find the number of each type of book. Graph the equations and confirm your solution is correct.

• Fiction books: 30, Non-fiction books: 30

• Fiction books: 50, Non-fiction books: 10

• Fiction books: 40, Non-fiction books: 20

• Fiction books: 20, Non-fiction books: 40

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70, set up a system of equations to find out how many miles they drove. Graph the equations and check your solution for accuracy.

• 50 miles

• 150 miles

• 100 miles

• 200 miles

Two friends, Alex and Jamie, are saving money for a concert. Alex has $20 more than Jamie, and together they have $120. Create a system of equations to find out how much money each friend has. Graph the equations and verify your solution.

• Alex has $50 and Jamie has $70.

• Alex has $70 and Jamie has $50.

• Alex has $60 and Jamie has $40.

• Alex has $80 and Jamie has $30.

A pet store has cats and dogs. If there are 15 pets in total and the number of dogs is 3 less than the number of cats, set up a system of equations to find the number of each type of pet. Graph your equations and check your answers for accuracy.

• 10 cats and 5 dogs

• 8 cats and 7 dogs

• 9 cats and 6 dogs

• 7 cats and 8 dogs

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 10 fruits for $14, create a system of equations to determine how many apples and bananas were purchased. Graph the equations and confirm your solution.

• 2 apples and 8 bananas

• 4 apples and 6 bananas

• 3 apples and 7 bananas

• 5 apples and 5 bananas

A local gym has adult and youth memberships. Adult memberships cost $50 and youth memberships cost $30. If they sold a total of 40 memberships for $1500, set up a system of equations to find the number of each type sold. Graph your equations and check your answers.

• 20 adult memberships and 20 youth memberships were sold.

• 10 adult memberships and 30 youth memberships were sold.

• 5 adult memberships and 35 youth memberships were sold.

• 15 adult memberships and 25 youth memberships were sold.

A bakery sells cupcakes and cookies. If the total number of baked goods is 80 and there are 20 more cupcakes than cookies, create a system of equations to find the number of each type of baked good. Graph the equations and verify your solution.

• Cookies: 25, Cupcakes: 55

• Cookies: 20, Cupcakes: 60

• Cookies: 30, Cupcakes: 50

• Cookies: 40, Cupcakes: 40