Solving Systems: Find Variables & Check Your Answers!

A fruit seller has apples and oranges. If he has 3 times as many apples as oranges and the total number of fruits is 48, how many apples and oranges does he have? Identify the variables and constants in your equations.

• Apples: 30, Oranges: 18

• Apples: 36, Oranges: 12

• Apples: 40, Oranges: 8

• Apples: 24, Oranges: 24

In a school, the number of boys is 5 more than twice the number of girls. If the total number of students is 35, how many boys and girls are there? Check your solution for accuracy after solving the system of equations.

• 30 boys and 5 girls

• 20 boys and 15 girls

• 25 boys and 10 girls

• 15 boys and 20 girls

A bookstore sells fiction and non-fiction books. If the total number of books is 120 and the number of fiction books is 20 more than the number of non-fiction books, how many of each type of book does the store have? Identify the variables and constants.

• Fiction books: 50, Non-fiction books: 70

• Fiction books: 80, Non-fiction books: 40

• Fiction books: 70, Non-fiction books: 50

• Fiction books: 60, Non-fiction books: 60

Two friends, Alex and Jamie, are collecting stickers. Alex has 4 more stickers than Jamie, and together they have 34 stickers. How many stickers does each friend have? Verify your solution by checking the total number of stickers.

• Jamie has 20 stickers and Alex has 14 stickers.

• Jamie has 12 stickers and Alex has 22 stickers.

• Jamie has 10 stickers and Alex has 24 stickers.

• Jamie has 15 stickers and Alex has 19 stickers.

A gardener is planting flowers and shrubs. If the number of flowers is twice the number of shrubs and the total number of plants is 30, how many flowers and shrubs are there? Identify the variables and constants in your equations.

• 15 flowers and 15 shrubs

• 25 flowers and 5 shrubs

• 10 flowers and 20 shrubs

• There are 20 flowers and 10 shrubs.

In a class, the number of boys is 3 less than 4 times the number of girls. If there are 27 students in total, how many boys and girls are in the class? Check your solution for accuracy after solving the system of equations.

• 18 boys and 9 girls

• 15 boys and 12 girls

• 21 boys and 6 girls

• 24 boys and 3 girls

A car rental company has two types of cars: sedans and SUVs. If the total number of cars is 50 and there are 10 more sedans than SUVs, how many sedans and SUVs does the company have? Identify the variables and constants in your equations.

• 25 sedans and 25 SUVs

• 40 sedans and 10 SUVs

• 15 sedans and 35 SUVs

• 30 sedans and 20 SUVs

A bakery sells cupcakes and cookies. If the number of cupcakes is 3 times the number of cookies and the total number of baked goods is 64, how many cupcakes and cookies are there? Verify your solution by checking the total number of baked goods.

• 20 cupcakes and 44 cookies

• 48 cupcakes and 16 cookies

• 40 cupcakes and 24 cookies

• 32 cupcakes and 32 cookies

In a pet store, the number of cats is 2 less than 3 times the number of dogs. If there are 26 pets in total, how many cats and dogs are there? Identify the variables and constants in your equations.

• 10 cats and 16 dogs

• 15 cats and 11 dogs

• 19 cats and 7 dogs

• 20 cats and 6 dogs

A sports team has players who play soccer and basketball. If there are 12 more soccer players than basketball players and the total number of players is 60, how many soccer and basketball players are there? Check your solution for accuracy after solving the system of equations.

• 20 basketball players and 40 soccer players

• 15 basketball players and 45 soccer players

• 24 basketball players and 36 soccer players

• 30 basketball players and 30 soccer players